Details

analyze458.0ms (2.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	95.2%	4.8%	7
6.2%	88.2%	5.6%	8
10.1%	80.4%	9.5%	9
15.2%	72.2%	12.6%	10
22.2%	62.5%	15.3%	11
29.1%	52.5%	18.5%	12

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample2.5s (13.5%)

Results

821.0ms	5528×	body	256	valid
624.0ms	1168×	body	2048	valid
312.0ms	444×	body	4096	valid
263.0ms	742×	body	1024	valid
235.0ms	1643×	body	256	invalid
124.0ms	374×	body	512	valid

preprocess128.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

1391×	`fma-neg_binary64`
685×	`div-sub_binary64`
542×	`unsub-neg_binary64`
508×	`times-frac_binary64`
354×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	80
1	65	72
2	112	72
3	222	72
4	365	72
5	620	72
6	1058	72
7	1773	72
8	4031	72
9	5484	72
10	6891	72
11	7212	72
12	7285	72
13	7349	72
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b_2 c)))) b_2)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) c)
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 a b_2)))) a)

Outputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b_2 c)))) b_2)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b_2 c))) a) b_2)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 (neg.f64 c) (*.f64 a a))) a) b_2)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) c)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) c)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) c)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) c)
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 a b_2)))) a)
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 b_2 a)))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 c c) (.f64 b_2 a))) c) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 (neg.f64 a) (*.f64 c c))) c) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (*.f64 b_2 (neg.f64 a)))) c) a)

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify123.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

808×	`fma-neg_binary64`
368×	`associate-/l*_binary64`
362×	`div-sub_binary64`
341×	`fma-def_binary64`
222×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	23	18
2	42	18
3	77	18
4	123	18
5	218	18
6	370	18
7	586	18
8	957	18
9	1474	18
10	2004	18
11	3234	18
12	4125	18
13	4595	18
14	4603	18
15	4611	18
16	4637	18
17	4653	18
18	4689	18
19	4719	18
20	4731	18

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Outputs

(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)

(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)

(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)

eval1.0ms (0%)

Compiler: Compiled 28 to 16 computations (42.9% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

30.9b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.9b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 16 to 10 computations (37.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	0.8b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	0.8b	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	20.2b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 53 to 10 computations (81.1% saved)

series27.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
2.0ms	b_2	@	inf	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
2.0ms	b_2	@	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
1.0ms	b_2	@	inf	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
1.0ms	c	@	inf	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

rewrite191.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

680×	`fma-def_binary64`
610×	`log-prod_binary64`
351×	`fma-neg_binary64`
312×	`pow2_binary64`
213×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	59
1	258	55
2	3917	52

Stop Event

1×	node limit

Counts

4 → 317

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2))) (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3))) (sqrt.f64 (fma.f64 (.f64 a c) (fma.f64 b_2 b_2 (.f64 a c)) (pow.f64 b_2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (.f64 a (neg.f64 c))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 b_2 b_2) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) 0) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) 2) (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)) (/.f64 1 (fma.f64 b_2 b_2 (-.f64 (.f64 b_2 b_2) (fma.f64 a c (.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (fma.f64 b_2 b_2 (.f64 b_2 b_2)) (.f64 a c)) (/.f64 1 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b_2 b_2 (-.f64 (.f64 b_2 b_2) (fma.f64 a c (.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))) (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (+.f64 (fma.f64 b_2 b_2 (.f64 b_2 b_2)) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)) (fma.f64 b_2 b_2 (-.f64 (.f64 b_2 b_2) (fma.f64 a c (.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)) (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (fma.f64 b_2 b_2 (.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 b_2 b_2)) (.f64 a c)) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) 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(sqrt.f64 (.f64 a (neg.f64 c))))) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a)) 1))))))

simplify105.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

985×	`times-frac_binary64`
814×	`fma-def_binary64`
759×	`associate-l_binary64`
658×	`associate-/l*_binary64`
567×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	2424
1	561	2350
2	1936	2254

Stop Event

1×	node limit

Counts

413 → 398

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(*.f64 -1 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (pow.f64 b_2 7))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(*.f64 -2 b_2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 4)) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(.f64 -1 (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 -1 (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 -1 (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 -1 (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 -1 (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 -1 (/.f64 b_2 a))))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 -1 (/.f64 b_2 a)))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (.f64 a (pow.f64 b_2 7)))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 c b_2)))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 3)) b_2)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) (.f64 a b_2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 c b_2)))))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 -1/2 (/.f64 (.f64 c a) b_2) b_2))
(fma.f64 -1/8 (.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (.f64 c c)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)))
(fma.f64 -1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (fma.f64 -1/8 (.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (.f64 c c)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) b_2)
(fma.f64 1/2 (/.f64 (*.f64 c a) b_2) (neg.f64 b_2))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
(-.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) 1/8 (.f64 1/2 (/.f64 (*.f64 c a) b_2))) b_2)
(fma.f64 (.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (.f64 c c)) 1/8 (fma.f64 1/2 (/.f64 (*.f64 c a) b_2) (neg.f64 b_2)))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (.f64 1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (-.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) 1/8 (.f64 1/2 (/.f64 (.f64 c a) b_2))) b_2))
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (fma.f64 (.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (.f64 c c)) 1/8 (fma.f64 1/2 (/.f64 (*.f64 c a) b_2) (neg.f64 b_2))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 -1/2 (/.f64 (.f64 c a) b_2) b_2))
(fma.f64 -1/8 (.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (.f64 c c)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)))
(fma.f64 -1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (fma.f64 -1/8 (.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (.f64 c c)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 -1/2 (/.f64 (.f64 c a) b_2) b_2))
(fma.f64 -1/8 (.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (.f64 c c)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)))
(fma.f64 -1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (fma.f64 -1/8 (.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (.f64 c c)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (neg.f64 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1 b_2 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (neg.f64 b_2)))
(-.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))) b_2)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1 b_2 (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (-.f64 (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))))) b_2))
(-.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))))) b_2)
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1/8 (.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (.f64 c c)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (.f64 c c)) (fma.f64 -1/2 (/.f64 (.f64 c a) b_2) (.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (pow.f64 b_2 7))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 a a))) 2)) (pow.f64 b_2 7)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 1/64)) (pow.f64 b_2 7)) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 5/64) (pow.f64 b_2 7)) (fma.f64 -1/8 (.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (.f64 c c)) (fma.f64 -1/2 (/.f64 (.f64 c a) b_2) (.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))))
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 1/2 (/.f64 (.f64 c a) b_2) (.f64 b_2 -2))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 b_2 -2 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) 1/8 (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 1/2 (/.f64 (.f64 c a) b_2) (fma.f64 b_2 -2 (.f64 (/.f64 1/8 (pow.f64 b_2 3)) (.f64 c (.f64 c (*.f64 a a))))))
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(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 1/64)) (.f64 a (pow.f64 b_2 7))) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (/.f64 (.f64 c -1/2) b_2))))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (.f64 -1/2 (+.f64 (/.f64 c b_2) (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 5/64) (*.f64 a (pow.f64 b_2 7)))))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 b_2 (/.f64 a -2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a -2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 c b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 1/2 (/.f64 c b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)))))
(fma.f64 1/2 (/.f64 c b_2) (fma.f64 1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (/.f64 b_2 (/.f64 a -2))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 c b_2)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (*.f64 1/2 (/.f64 c b_2)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (/.f64 (.f64 c 1/2) b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (.f64 1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c)))))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 c -1/2) b_2)
(*.f64 (/.f64 -1/2 b_2) c)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (/.f64 (.f64 c -1/2) b_2))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (.f64 (/.f64 -1/2 b_2) c))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (/.f64 (.f64 c -1/2) b_2)))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (.f64 a (.f64 a (pow.f64 c 3))))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 3)) b_2)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (/.f64 (.f64 c c) (pow.f64 b_2 3))) 2) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (/.f64 b_2 (pow.f64 a 3))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 1/64)) (/.f64 b_2 (pow.f64 a 3))) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (/.f64 (*.f64 c -1/2) b_2))))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (.f64 -1/2 (+.f64 (/.f64 c b_2) (.f64 (/.f64 (pow.f64 a 3) b_2) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 5/64))))))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 c -1/2) b_2)
(*.f64 (/.f64 -1/2 b_2) c)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (/.f64 (.f64 c -1/2) b_2))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (.f64 (/.f64 -1/2 b_2) c))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (/.f64 (.f64 c -1/2) b_2)))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (.f64 a (.f64 a (pow.f64 c 3))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) (.f64 a b_2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/2 (/.f64 (pow.f64 c 4) (/.f64 (.f64 a b_2) (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (pow.f64 (.f64 -1/8 (/.f64 (.f64 a a) (pow.f64 b_2 3))) 2)))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/2 (.f64 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) 1/64)) a) (/.f64 (pow.f64 c 4) b_2)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (/.f64 (.f64 c -1/2) b_2))))
(fma.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 5/64)) (.f64 a b_2)) (fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (.f64 a (*.f64 a (pow.f64 c 3)))))))

eval217.0ms (1.2%)

Compiler: Compiled 9534 to 3329 computations (65.1% saved)

prune97.0ms (0.5%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	376	22	398
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	376	23	399

Error

3.9b

Counts

399 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	33.5b	(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
	55.5b	(/.f64 (+.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))) a)
▶	46.1b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	55.5b	(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
	34.6b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2))) a)
	47.0b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
✓	30.9b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	39.9b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
	46.1b	(/.f64 (*.f64 b_2 -2) a)
	39.6b	(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (.f64 (/.f64 -1/2 b_2) c))
	44.8b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	46.3b	(/.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 3) a)
	40.9b	(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) a)
	38.0b	(*.f64 (/.f64 -1/2 b_2) c)
▶	37.9b	(*.f64 -1/2 (/.f64 c b_2))
▶	46.0b	(.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
	43.5b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	46.2b	(pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
▶	31.6b	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)) a)
	48.6b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
	32.5b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3))) a)
	60.3b	(pow.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3) 1/3)
▶	44.4b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) a)

Compiler

Compiled 694 to 472 computations (32% saved)

localize50.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)
	0.8b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	10.8b	(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
✓	20.8b	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)

Compiler

Compiled 73 to 26 computations (64.4% saved)

series50.0ms (0.3%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
5.0ms	c	@	-inf	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)
5.0ms	c	@	0	(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
3.0ms	c	@	0	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)
3.0ms	b_2	@	inf	(pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)
3.0ms	a	@	0	(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))

rewrite76.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

607×	`log-prod_binary64`
607×	`fma-def_binary64`
339×	`pow2_binary64`
313×	`fma-neg_binary64`
230×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	305	40
2	4063	38

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

Inputs
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)
(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
(pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/8) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (sqrt.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2) 1/4) (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) 1/4) (pow.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 1/4 (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/4 (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 1))))))
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Outputs

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((x fma.f64 (*.f64 -1 (sqrt.f64 b_2)) (sqrt.f64 b_2) (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/8) (*.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/8) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/8) 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2))) (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3))) (sqrt.f64 (fma.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c)) (pow.f64 b_2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 a c))) (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) 1))))))

simplify210.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

750×	`fma-def_binary64`
565×	`associate-r_binary64`
431×	`associate-l_binary64`
351×	`times-frac_binary64`
336×	`associate-+l+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	583	8295
1	2194	7035

Stop Event

1×	node limit

Counts

232 → 315

Calls

Call 1

Inputs
(pow.f64 (.f64 -1 (.f64 c a)) 1/4)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (pow.f64 (.f64 -1 (*.f64 c a)) 1/4))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (+.f64 (.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (pow.f64 (.f64 -1 (.f64 c a)) 1/4)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (+.f64 (.f64 -7/128 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b_2 6))) (+.f64 (.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (pow.f64 (.f64 -1 (*.f64 c a)) 1/4))))
(sqrt.f64 b_2)
(+.f64 (.f64 -1/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (sqrt.f64 b_2))
(+.f64 (.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (sqrt.f64 b_2) (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
(+.f64 (.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1/12 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (+.f64 (sqrt.f64 b_2) (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 b_2))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 b_2)) (.f64 -1/4 (.f64 (.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 b_2)) (+.f64 (.f64 -1/4 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
(+.f64 (.f64 (.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/384 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1/12 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 11)))) (+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 b_2)) (+.f64 (.f64 -1/4 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b_2))
(+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b_2)) (.f64 -1/4 (.f64 (.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))))))
(+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b_2)) (+.f64 (.f64 -1/4 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))))) (.f64 (pow.f64 1 1/4) (.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))) (sqrt.f64 b_2)))))
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(.f64 -1/2 (/.f64 (.f64 c a) b_2))
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(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b_2)
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(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b_2)
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(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
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b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
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(*.f64 -1 b_2)
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b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) (.f64 2 (.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))))) (pow.f64 a 2)) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) (.f64 2 (.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))))) (pow.f64 a 2)) (+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 2 (.f64 b_2 (+.f64 (.f64 -1/12 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (.f64 -1/384 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))))))) (.f64 -1/2 (/.f64 (.f64 c (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))) b_2)))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (pow.f64 a 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2))) (.f64 c (pow.f64 a 3)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (.f64 1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (pow.f64 a 3))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (pow.f64 a 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2))))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b_2 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b_2 2)) (.f64 c a))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2))) (.f64 1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b_2 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b_2 2)) (.f64 c a))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (+.f64 (.f64 1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 b_2 2) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2)))))) c))) (pow.f64 a 3))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2))) (.f64 1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b_2 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2))))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (+.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 2 (.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4)))))) (.f64 1/16 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 b_2 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (.f64 1/32 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)))))) (+.f64 (.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (.f64 1/32 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))))) b_2) (.f64 -1/2 (/.f64 (.f64 a (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))))) b_2))))) (+.f64 b_2 (+.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 2 (.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4)))))) (.f64 1/16 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 2)) (*.f64 c a))))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))))) (pow.f64 c 2))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 2)) (.f64 c a))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 b_2 2))) (.f64 (pow.f64 c 3) a))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))))) (pow.f64 c 2))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (.f64 -1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)))))) (pow.f64 c 3))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 2)) (*.f64 c a))))))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (.f64 1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (.f64 1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))) a))) (pow.f64 c 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))))

Outputs
(pow.f64 (.f64 -1 (.f64 c a)) 1/4)
(pow.f64 (*.f64 (neg.f64 c) a) 1/4)
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (pow.f64 (.f64 -1 (*.f64 c a)) 1/4))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (pow.f64 (.f64 (neg.f64 c) a) 1/4))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (pow.f64 (.f64 a (neg.f64 c)) 1/4))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (+.f64 (.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (pow.f64 (.f64 -1 (.f64 c a)) 1/4)))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (fma.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4)) (pow.f64 (.f64 (neg.f64 c) a) 1/4)))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (fma.f64 -3/32 (.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b_2 4)) (pow.f64 (*.f64 a (neg.f64 c)) 1/4)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (+.f64 (.f64 -7/128 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b_2 6))) (+.f64 (.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (pow.f64 (.f64 -1 (*.f64 c a)) 1/4))))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (fma.f64 -7/128 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b_2 6)) (fma.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4)) (pow.f64 (.f64 (neg.f64 c) a) 1/4))))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (fma.f64 -7/128 (.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 11)) (pow.f64 a 11)) 1/4) (pow.f64 b_2 6)) (fma.f64 -3/32 (.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b_2 4)) (pow.f64 (.f64 a (neg.f64 c)) 1/4))))
(sqrt.f64 b_2)
(+.f64 (.f64 -1/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (sqrt.f64 b_2))
(fma.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))) (sqrt.f64 b_2))
(fma.f64 (.f64 (.f64 -1/4 c) a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (sqrt.f64 b_2))
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(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) b_2)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) b_2)
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(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 b_2 (/.f64 a b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) b_2)
(-.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))) b_2)
(-.f64 (fma.f64 1/16 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (.f64 a a))) (fma.f64 2 (/.f64 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) -3/32) (/.f64 (.f64 c c) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))) (fma.f64 -1/2 (.f64 (/.f64 (.f64 b_2 b_2) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)))) b_2)
(-.f64 (fma.f64 1/16 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) (.f64 a a))) (fma.f64 2 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 b_2 4) -3/32) (.f64 a a)) (.f64 c c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) (fma.f64 -1/2 (.f64 (/.f64 b_2 (/.f64 a b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)))) b_2)
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(-.f64 (-.f64 (fma.f64 1/16 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) (.f64 a a))) (fma.f64 2 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 b_2 4) -3/32) (.f64 a a)) (.f64 c c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) (fma.f64 -1/2 (.f64 (/.f64 b_2 (/.f64 a b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)))) (/.f64 (fma.f64 1/2 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 b_2 4) -3/32) (.f64 a a)) a) (.f64 (.f64 b_2 b_2) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2))) (.f64 (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) 7/128) (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) 2))) (pow.f64 c 3))) b_2)
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 c a)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 b_2 b_2) (sqrt.f64 -1)))))
(fma.f64 -1/2 (.f64 (sqrt.f64 -1) (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (.f64 c a))))) (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 c a))))
(+.f64 (.f64 (pow.f64 b_2 4) (+.f64 (.f64 -3/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (*.f64 (sqrt.f64 -1) (pow.f64 b_2 2))))))
(fma.f64 (pow.f64 b_2 4) (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) -1/8) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(fma.f64 (pow.f64 b_2 4) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (sqrt.f64 -1) -1/8)) (fma.f64 -1/2 (.f64 (sqrt.f64 -1) (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (.f64 c a))))) (.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 c a)))))
(+.f64 (.f64 (pow.f64 b_2 4) (+.f64 (.f64 -3/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))) (.f64 (pow.f64 b_2 6) (+.f64 (.f64 -7/64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (sqrt.f64 -1))) (.f64 3/64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (sqrt.f64 -1))))))))
(fma.f64 (pow.f64 b_2 4) (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) -1/8) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 b_2 b_2) (sqrt.f64 -1))) (.f64 (pow.f64 b_2 6) (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5))))) -1/16)))))
(fma.f64 (pow.f64 b_2 4) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (sqrt.f64 -1) -1/8)) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 c a)) (fma.f64 (pow.f64 b_2 6) (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5))) -1/16)) (.f64 -1/2 (.f64 (sqrt.f64 -1) (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (*.f64 c a)))))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (fma.f64 -1/4 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a))) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2))
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(*.f64 -1 b_2)
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b_2
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(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)
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(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a)))) 2)
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b_2
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(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)
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(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
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(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
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(fma.f64 -1/2 (.f64 (/.f64 (.f64 b_2 b_2) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))
(fma.f64 -1/2 (*.f64 (/.f64 b_2 (/.f64 a b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (.f64 a a))) (fma.f64 2 (/.f64 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) -3/32) (/.f64 (.f64 c c) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))) (fma.f64 -1/2 (.f64 (/.f64 (.f64 b_2 b_2) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) (.f64 a a))) (fma.f64 2 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 b_2 4) -3/32) (.f64 a a)) (.f64 c c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) (fma.f64 -1/2 (.f64 (/.f64 b_2 (/.f64 a b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (.f64 1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (.f64 1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))) a))) (pow.f64 c 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))))
(fma.f64 -1 (/.f64 (fma.f64 2 (.f64 (fma.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) 11/128)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) (.f64 1/2 (/.f64 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) -3/32) (/.f64 a (.f64 (.f64 b_2 b_2) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)))))) (pow.f64 c 3)) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (.f64 a a))) (fma.f64 2 (/.f64 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) -3/32) (/.f64 (.f64 c c) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))) (fma.f64 -1/2 (.f64 (/.f64 (.f64 b_2 b_2) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)))))
(-.f64 (fma.f64 1/16 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) (.f64 a a))) (fma.f64 2 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 b_2 4) -3/32) (.f64 a a)) (.f64 c c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) (fma.f64 -1/2 (.f64 (/.f64 b_2 (/.f64 a b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)))) (/.f64 (fma.f64 1/2 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 b_2 4) -3/32) (.f64 a a)) a) (.f64 (.f64 b_2 b_2) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2))) (.f64 (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) 7/128) (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) 2))) (pow.f64 c 3)))

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -1/2 (/.f64 c b_2))

Compiler

Compiled 14 to 7 computations (50% saved)

series7.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	c	@	0	(*.f64 -1/2 (/.f64 c b_2))
1.0ms	c	@	inf	(*.f64 -1/2 (/.f64 c b_2))
1.0ms	b_2	@	inf	(*.f64 -1/2 (/.f64 c b_2))
1.0ms	b_2	@	0	(*.f64 -1/2 (/.f64 c b_2))
1.0ms	c	@	-inf	(*.f64 -1/2 (/.f64 c b_2))

rewrite56.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`pow1_binary64`
606×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
594×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1610	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b_2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 b_2 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b_2 (*.f64 -1/2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 c) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -1/2 c)) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) 1) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) (sqrt.f64 b_2)) (sqrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) -1/2) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (neg.f64 c)) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b_2))))))))

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize32.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 1/2 (/.f64 c b_2))
✓	0.0b	(*.f64 -2 (/.f64 b_2 a))
✓	0.0b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))

Compiler

Compiled 35 to 16 computations (54.3% saved)

series30.0ms (0.2%)

Counts

3 → 9

Calls

21 calls:

Time	Variable		Point	Expression
14.0ms	a	@	inf	(*.f64 -2 (/.f64 b_2 a))
1.0ms	b_2	@	0	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
1.0ms	a	@	0	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
1.0ms	b_2	@	inf	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
1.0ms	c	@	0	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))

rewrite110.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`log-prod_binary64`
372×	`pow-prod-down_binary64`
328×	`fma-def_binary64`
325×	`pow2_binary64`
226×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	246	28
2	3422	28

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

Inputs
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 1/2 (/.f64 c b_2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (/.f64 a b_2) -2) 4) (fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2)))) (/.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4) (fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))) 2) (cbrt.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))) (sqrt.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (/.f64 b_2 a) 3) -8 (*.f64 (pow.f64 (/.f64 c b_2) 3) 1/8)) (/.f64 1 (fma.f64 (*.f64 1/2 (/.f64 c b_2)) (-.f64 (*.f64 1/2 (/.f64 c b_2)) (/.f64 -2 (/.f64 a b_2))) (*.f64 (pow.f64 (/.f64 a b_2) -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 (/.f64 a b_2) -2) 4) (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4)) (/.f64 1 (fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 1/2 (/.f64 c b_2)) (-.f64 (*.f64 1/2 (/.f64 c b_2)) (/.f64 -2 (/.f64 a b_2))) (*.f64 (pow.f64 (/.f64 a b_2) -2) 4)) (fma.f64 (pow.f64 (/.f64 b_2 a) 3) -8 (*.f64 (pow.f64 (/.f64 c b_2) 3) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2))) (-.f64 (*.f64 (pow.f64 (/.f64 a b_2) -2) 4) (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 b_2 a) 3) -8 (*.f64 (pow.f64 (/.f64 c b_2) 3) 1/8)) (fma.f64 (*.f64 1/2 (/.f64 c b_2)) (-.f64 (*.f64 1/2 (/.f64 c b_2)) (/.f64 -2 (/.f64 a b_2))) (*.f64 (pow.f64 (/.f64 a b_2) -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 b_2 a) 3) -8 (*.f64 (pow.f64 (/.f64 c b_2) 3) 1/8)) (fma.f64 (pow.f64 (/.f64 c b_2) 2) 1/4 (fma.f64 (pow.f64 (/.f64 a b_2) -2) 4 (neg.f64 (*.f64 (*.f64 (/.f64 -2 (/.f64 a b_2)) 1/2) (/.f64 c b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (/.f64 a b_2) -2) 4) (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4)) (fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 b_2 a) 3) -8 (*.f64 (pow.f64 (/.f64 c b_2) 3) 1/8))) (neg.f64 (fma.f64 (*.f64 1/2 (/.f64 c b_2)) (-.f64 (*.f64 1/2 (/.f64 c b_2)) (/.f64 -2 (/.f64 a b_2))) (*.f64 (pow.f64 (/.f64 a b_2) -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 a b_2) -2) 4) (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4))) (neg.f64 (fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 -2 b_2) b_2 (*.f64 a (*.f64 1/2 c))) (*.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 1/2 c) a (*.f64 b_2 (*.f64 -2 b_2))) (*.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4) (*.f64 (pow.f64 (/.f64 a b_2) -2) 4)) (-.f64 (*.f64 1/2 (/.f64 c b_2)) (/.f64 -2 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 1/2 (/.f64 c b_2)) (-.f64 (*.f64 1/2 (/.f64 c b_2)) (/.f64 -2 (/.f64 a b_2))) (*.f64 (pow.f64 (/.f64 a b_2) -2) 4)) (fma.f64 (pow.f64 (/.f64 b_2 a) 3) -8 (*.f64 (pow.f64 (/.f64 c b_2) 3) 1/8))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2))) (-.f64 (*.f64 (pow.f64 (/.f64 a b_2) -2) 4) (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 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1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 c b_2) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 c (*.f64 (/.f64 1 b_2) 1/2) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 c b_2) 1/2 (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (/.f64 c b_2)) 1 (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2 (/.f64 a b_2)) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 (/.f64 c b_2)) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 a b_2) -2)) (*.f64 (cbrt.f64 (/.f64 b_2 a)) -2) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 c b_2) 2)) (*.f64 (cbrt.f64 (/.f64 c b_2)) 1/2) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 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c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 (/.f64 c b_2))) (sqrt.f64 (*.f64 1/2 (/.f64 c b_2))) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 b_2) (/.f64 1 a) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 c) (/.f64 1 b_2) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b_2 (cbrt.f64 a)) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 (sqrt.f64 a)) (/.f64 b_2 (sqrt.f64 a)) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 c (cbrt.f64 b_2)) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (sqrt.f64 b_2)) (/.f64 c (sqrt.f64 b_2)) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (cbrt.f64 (pow.f64 (/.f64 a b_2) -2))) (cbrt.f64 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 c b_2) 2))) (cbrt.f64 (/.f64 c b_2)) (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c b_2))) (sqrt.f64 (/.f64 c b_2)) (/.f64 -2 (/.f64 a b_2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (/.f64 b_2 a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (/.f64 b_2 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -2 (/.f64 a b_2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 -2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 b_2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -2 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 b_2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 b_2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b_2) -2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (neg.f64 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2 (/.f64 a b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 a b_2) -2) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 a b_2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -2 (/.f64 a b_2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2 (/.f64 a b_2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 -2 b_2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 a b_2) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2 (/.f64 a b_2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -2 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -2 (/.f64 a b_2))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b_2)))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b_2))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 b_2 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b_2 (*.f64 1/2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 c) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 c)) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) 1) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) (sqrt.f64 b_2)) (sqrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) 1/2) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (neg.f64 c)) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 c b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b_2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 c b_2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 c b_2) 3) 1/8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b_2 (*.f64 1/2 c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 c b_2) 3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 c b_2))) 1))))))

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`associate-/l*_binary64`
2×	`associate-*r/_binary64`
2×	`associate-*l/_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	63
1	16	63
2	24	63
3	32	63
4	34	63

Stop Event

1×

saturated

Counts

133 → 127

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 c b_2))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))

Outputs
(*.f64 1/2 (/.f64 c b_2))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
✓	0.2b	(.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
✓	0.5b	(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
✓	12.7b	(sqrt.f64 (*.f64 a (neg.f64 c)))

Compiler

Compiled 50 to 14 computations (72% saved)

series90.0ms (0.5%)

Counts

4 → 42

Calls

33 calls:

Time	Variable		Point	Expression
11.0ms	a	@	0	(sqrt.f64 (*.f64 a (neg.f64 c)))
7.0ms	c	@	inf	(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
7.0ms	a	@	inf	(.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
5.0ms	a	@	-inf	(.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
5.0ms	a	@	inf	(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))

rewrite103.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

885×	`prod-diff_binary64`
588×	`log-prod_binary64`
270×	`fma-def_binary64`
203×	`expm1-udef_binary64`
203×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	259	42
2	3593	42

Stop Event

1×	node limit

Counts

4 → 176

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 a (neg.f64 c)))
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
(.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))

Outputs
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3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) 3) (/.f64 (pow.f64 a -2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (/.f64 (pow.f64 a -2) a) (pow.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b_2 (/.f64 1 a) (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) (/.f64 1 a) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 b_2 a) (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) a) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 a) b_2 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 a) (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a -2)) (.f64 (/.f64 1 (cbrt.f64 a)) b_2) (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a -2)) (.f64 (/.f64 1 (cbrt.f64 a)) (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 a c (.f64 b_2 b_2))) (.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) (/.f64 1 a)) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b_2) 2) (.f64 (cbrt.f64 b_2) (/.f64 1 a)) (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a -1/2) (.f64 (pow.f64 a -1/2) b_2) (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a -1/2) (.f64 (pow.f64 a -1/2) (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) (.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) (/.f64 1 a)) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b_2) (.f64 (sqrt.f64 b_2) (/.f64 1 a)) (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 b_2 a) 1 (.f64 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (/.f64 (hypot.f64 (sqrt.f64 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-1/2)) (pow.f64 a -1/2) (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 1 a) (cbrt.f64 (fma.f64 a c (.f64 b_2 b_2)))) (cbrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 1 a) (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2))) (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) (cbrt.f64 (pow.f64 a -2))) (/.f64 1 (cbrt.f64 a)) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) (pow.f64 a -1/2)) (pow.f64 a -1/2) (/.f64 b_2 a))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2))) (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) (cbrt.f64 (fma.f64 a c (.f64 b_2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 a c (.f64 b_2 b_2))) (cbrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a c (.f64 b_2 b_2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a c (.f64 b_2 b_2)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (fma.f64 a c (.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b_2 b_2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) 1))))))

simplify141.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

936×	`times-frac_binary64`
672×	`associate-/l*_binary64`
604×	`fma-def_binary64`
492×	`associate-/r*_binary64`
306×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	1608
1	481	1309
2	1811	1219
3	7062	1219

Stop Event

1×	node limit

Counts

218 → 244

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) b_2)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 b_2 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 b_2 (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(*.f64 2 b_2)
(+.f64 (.f64 2 b_2) (.f64 1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(+.f64 (.f64 2 b_2) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (.f64 2 b_2) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(.f64 -1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (pow.f64 b_2 7))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(*.f64 2 b_2)
(*.f64 2 b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (/.f64 b_2 a) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (/.f64 b_2 a) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(*.f64 2 (/.f64 b_2 a))
(+.f64 (.f64 2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(+.f64 (.f64 2 (/.f64 b_2 a)) (+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3)))))
(+.f64 (.f64 2 (/.f64 b_2 a)) (+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5)))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (.f64 a (pow.f64 b_2 7)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(*.f64 2 (/.f64 b_2 a))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
b_2
(+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(*.f64 -1 b_2)
(+.f64 (.f64 -1 b_2) (.f64 -1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
b_2
b_2

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) b_2)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) b_2)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 b_2 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) b_2) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))) b_2))
(fma.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (.f64 (.f64 b_2 b_2) 1/2) (sqrt.f64 -1)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 b_2 (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) b_2) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) b_2) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1)) -1)) (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) 1/2))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (.f64 (pow.f64 b_2 4) -1/8) (neg.f64 (sqrt.f64 -1))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) b_2)))
(*.f64 2 b_2)
(*.f64 b_2 2)
(+.f64 (.f64 2 b_2) (.f64 1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(fma.f64 2 b_2 (.f64 1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2)))
(fma.f64 b_2 2 (/.f64 (.f64 (.f64 -1/2 c) a) b_2))
(fma.f64 b_2 2 (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a))
(+.f64 (.f64 2 b_2) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(fma.f64 2 b_2 (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2))))
(fma.f64 b_2 2 (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a (.f64 a 1))) (/.f64 (.f64 (.f64 -1/2 c) a) b_2)))
(fma.f64 b_2 2 (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (.f64 (/.f64 -1/2 (/.f64 b_2 c)) a)))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (.f64 2 b_2) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (fma.f64 2 b_2 (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (.f64 1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2)))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 -1 (pow.f64 a 3))) (fma.f64 b_2 2 (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a (.f64 a 1))) (/.f64 (.f64 (.f64 -1/2 c) a) b_2))))
(fma.f64 1/16 (.f64 (neg.f64 (pow.f64 a 3)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 b_2 2 (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a))))
(fma.f64 1/16 (.f64 (pow.f64 (neg.f64 a) 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 b_2 2 (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a))))
(.f64 -1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))
(/.f64 (.f64 -1/2 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))) b_2)
(/.f64 (.f64 (.f64 1/2 c) a) b_2)
(*.f64 (/.f64 1/2 (/.f64 b_2 c)) a)
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (/.f64 (.f64 -1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -1) 2)))) b_2))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a (.f64 a 1))) 1/8 (/.f64 (.f64 (.f64 1/2 c) a) b_2))
(fma.f64 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) 1/8 (.f64 (/.f64 1/2 (/.f64 b_2 c)) a))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (/.f64 (.f64 -1/2 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))) b_2)))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a (.f64 a 1))) 1/8 (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 -1 (pow.f64 a 3))) -1/16 (/.f64 (.f64 (.f64 1/2 c) a) b_2)))
(fma.f64 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) 1/8 (fma.f64 (.f64 (neg.f64 (pow.f64 a 3)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a)))
(fma.f64 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) 1/8 (fma.f64 (.f64 (pow.f64 (neg.f64 a) 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (pow.f64 b_2 7))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (pow.f64 b_2 7)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (/.f64 (.f64 -1/2 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))) b_2))))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a (.f64 a 1))) 1/8 (fma.f64 1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 1 (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 c (.f64 c (.f64 a (.f64 a 1))))) 2)) (pow.f64 b_2 7)) (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 -1 (pow.f64 a 3))) -1/16 (/.f64 (.f64 (*.f64 1/2 c) a) b_2))))
(fma.f64 1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 (pow.f64 c 4) 1/64) (.f64 1/16 (pow.f64 c 4)))) (pow.f64 b_2 7)) (fma.f64 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) 1/8 (fma.f64 (.f64 (neg.f64 (pow.f64 a 3)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (.f64 (/.f64 1/2 (/.f64 b_2 c)) a))))
(fma.f64 1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 (pow.f64 c 4) 1/64) (.f64 1/16 (pow.f64 c 4)))) (pow.f64 b_2 7)) (fma.f64 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) 1/8 (fma.f64 (.f64 (pow.f64 (neg.f64 a) 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (.f64 (/.f64 1/2 (/.f64 b_2 c)) a))))
(*.f64 2 b_2)
(*.f64 b_2 2)
(*.f64 2 b_2)
(*.f64 b_2 2)
(*.f64 2 (/.f64 b_2 a))
(/.f64 2 (/.f64 a b_2))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 b_2 a))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (/.f64 b_2 a) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 b_2 a)) (.f64 1/2 (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (fma.f64 1/2 (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (/.f64 b_2 a)))
(fma.f64 (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) (.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (/.f64 b_2 a) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 b_2 a)) (fma.f64 -1/8 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (pow.f64 b_2 4)) (pow.f64 (sqrt.f64 -1) 3)) (.f64 1/2 (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))))))
(+.f64 (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)) (fma.f64 1/2 (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (.f64 (/.f64 (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1)) -1) (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5))))))))
(+.f64 (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)) (fma.f64 1/2 (.f64 (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (*.f64 1/8 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4))))))
(*.f64 2 (/.f64 b_2 a))
(/.f64 2 (/.f64 a b_2))
(+.f64 (.f64 2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(fma.f64 2 (/.f64 b_2 a) (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(fma.f64 2 (/.f64 b_2 a) (/.f64 (*.f64 -1/2 c) b_2))
(fma.f64 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))
(+.f64 (.f64 2 (/.f64 b_2 a)) (+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3)))))
(fma.f64 2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2) (.f64 -1/8 (/.f64 (.f64 (.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -1) 4))) (pow.f64 b_2 3)))))
(fma.f64 2 (/.f64 b_2 a) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a 1)) (/.f64 (.f64 -1/2 c) b_2)))
(fma.f64 2 (/.f64 b_2 a) (fma.f64 -1/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b_2 3))) (/.f64 -1/2 (/.f64 b_2 c))))
(+.f64 (.f64 2 (/.f64 b_2 a)) (+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(fma.f64 2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a (pow.f64 (sqrt.f64 -1) 4))) (pow.f64 b_2 3)) (.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1) 6))))))))
(+.f64 (fma.f64 2 (/.f64 b_2 a) (/.f64 (.f64 -1/2 c) b_2)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a 1)) (.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a (.f64 a -1))))))
(fma.f64 2 (/.f64 b_2 a) (fma.f64 -1/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 1/16 (.f64 (neg.f64 (.f64 a a)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (/.f64 -1/2 (/.f64 b_2 c)))))
(.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 1/2 (/.f64 b_2 c))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a (pow.f64 (sqrt.f64 -1) 4))) (pow.f64 b_2 3)) (.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a 1)) (/.f64 (.f64 1/2 c) b_2))
(fma.f64 1/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b_2 3))) (/.f64 1/2 (/.f64 b_2 c)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5)))))
(fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a (pow.f64 (sqrt.f64 -1) 4))) (pow.f64 b_2 3)) (fma.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2) (.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1) 6)))))))
(fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a 1)) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a (.f64 a -1))) (/.f64 (*.f64 1/2 c) b_2)))
(fma.f64 1/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/16 (.f64 (neg.f64 (.f64 a a)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (/.f64 1/2 (/.f64 b_2 c))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (.f64 a (pow.f64 b_2 7)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a (pow.f64 (sqrt.f64 -1) 4))) (pow.f64 b_2 3)) (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (.f64 a (pow.f64 b_2 7))) (fma.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2) (.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -1) 6))))))))
(fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a 1)) (fma.f64 1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 1 (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 c (.f64 c (.f64 a (.f64 a 1))))) 2)) (.f64 a (pow.f64 b_2 7))) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a (.f64 a -1))) (/.f64 (*.f64 1/2 c) b_2))))
(fma.f64 1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 (pow.f64 c 4) 1/64) (.f64 1/16 (pow.f64 c 4)))) (.f64 a (pow.f64 b_2 7))) (fma.f64 1/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/16 (.f64 (neg.f64 (.f64 a a)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (/.f64 1/2 (/.f64 b_2 c)))))
(*.f64 2 (/.f64 b_2 a))
(/.f64 2 (/.f64 a b_2))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) 1/2)))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (.f64 (.f64 b_2 b_2) 1/2) (sqrt.f64 -1))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1)) -1)) (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) 1/2))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 5) (pow.f64 c 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 5))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1)) -1)) (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)) 1/2)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))))))
b_2
(+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2)))
(+.f64 b_2 (/.f64 (.f64 (.f64 -1/2 c) a) b_2))
(+.f64 b_2 (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a))
(fma.f64 1/2 (*.f64 (neg.f64 (/.f64 a b_2)) c) b_2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2))))
(+.f64 b_2 (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a (.f64 a 1))) (/.f64 (.f64 (.f64 -1/2 c) a) b_2)))
(+.f64 b_2 (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (.f64 (/.f64 -1/2 (/.f64 b_2 c)) a)))
(fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 1/2 (.f64 (neg.f64 (/.f64 a b_2)) c) b_2))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2)))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 -1 (pow.f64 a 3))) (+.f64 b_2 (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a (.f64 a 1))) (/.f64 (.f64 (.f64 -1/2 c) a) b_2))))
(+.f64 b_2 (fma.f64 1/16 (.f64 (neg.f64 (pow.f64 a 3)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a))))
(fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 1/16 (.f64 (pow.f64 (neg.f64 a) 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 1/2 (*.f64 (neg.f64 (/.f64 a b_2)) c) b_2)))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (.f64 -1 b_2) (.f64 -1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(fma.f64 -1 b_2 (/.f64 (.f64 -1/2 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))) b_2))
(-.f64 (/.f64 (.f64 (.f64 1/2 c) a) b_2) b_2)
(-.f64 (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a) b_2)
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (/.f64 (.f64 -1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -1) 2)))) b_2)))
(-.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a (.f64 a 1))) 1/8 (/.f64 (.f64 (.f64 1/2 c) a) b_2)) b_2)
(fma.f64 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) 1/8 (-.f64 (.f64 (/.f64 1/2 (/.f64 b_2 c)) a) b_2))
(-.f64 (.f64 (/.f64 1/2 (/.f64 b_2 c)) a) (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) b_2))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(fma.f64 -1 b_2 (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (/.f64 (.f64 -1/2 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))) b_2))))
(-.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a (.f64 a 1))) 1/8 (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 -1 (pow.f64 a 3))) -1/16 (/.f64 (.f64 (.f64 1/2 c) a) b_2))) b_2)
(fma.f64 (.f64 (neg.f64 (pow.f64 a 3)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (fma.f64 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) 1/8 (-.f64 (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a) b_2)))
(-.f64 (fma.f64 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) 1/8 (fma.f64 (.f64 (pow.f64 (neg.f64 a) 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a))) b_2)
b_2
b_2

localize47.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	4.5b	(/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
	12.7b	(sqrt.f64 (*.f64 a (neg.f64 c)))
✓	18.7b	(-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (*.f64 b_2 b_2))

Compiler

Compiled 101 to 14 computations (86.1% saved)

series41.0ms (0.2%)

Counts

2 → 50

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	c	@	inf	(/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
8.0ms	c	@	-inf	(/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
6.0ms	a	@	0	(/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
6.0ms	a	@	inf	(/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
3.0ms	a	@	-inf	(/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))

rewrite95.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

764×	`log-prod_binary64`
579×	`fma-neg_binary64`
256×	`expm1-udef_binary64`
256×	`log1p-udef_binary64`
212×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	48
1	342	26
2	5364	26

Stop Event

1×	node limit

Counts

2 → 203

Calls

Call 1

Inputs
(-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (*.f64 b_2 b_2))
(/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))

Outputs

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simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

690×	`fma-neg_binary64`
637×	`times-frac_binary64`
547×	`fma-def_binary64`
434×	`associate-/l*_binary64`
380×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	955
1	385	779
2	1767	709
3	7095	703

Stop Event

1×	node limit

Counts

253 → 229

Calls

Call 1

Inputs
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1))))
(+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (.f64 (pow.f64 b_2 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -1))))))
(+.f64 (.f64 (pow.f64 b_2 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 b_2 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))))))) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 1/128 (/.f64 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4))) (pow.f64 b_2 7))) (+.f64 (.f64 1/32 (/.f64 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4))) (pow.f64 b_2 7))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))))
(*.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))) (pow.f64 b_2 3)))))
(+.f64 (.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))) (pow.f64 b_2 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (+.f64 (.f64 1/16 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3)))) (.f64 1/4 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 a (+.f64 (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (.f64 -1/8 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))))))))) (pow.f64 b_2 5))))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))

Outputs
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1))))
(neg.f64 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -1))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -1))
(/.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -1)))
(+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -1)))) (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)))
(-.f64 (/.f64 b_2 -1) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(+.f64 (.f64 (pow.f64 b_2 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -1))))))
(fma.f64 (.f64 b_2 b_2) (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (+.f64 (neg.f64 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))) (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))))
(fma.f64 (.f64 b_2 b_2) (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (.f64 (/.f64 -1 (sqrt.f64 -1)) -1/2)) (-.f64 (/.f64 b_2 -1) (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))))
(-.f64 (fma.f64 (.f64 b_2 b_2) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1/2 (sqrt.f64 -1))) (/.f64 b_2 -1)) (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)))
(+.f64 (.f64 (pow.f64 b_2 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 b_2 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))))))) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))))
(fma.f64 (.f64 b_2 b_2) (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (fma.f64 -1 (.f64 (pow.f64 b_2 3) (-.f64 (/.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (neg.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2)) (sqrt.f64 -1))))) (neg.f64 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))))
(fma.f64 (.f64 b_2 b_2) (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (.f64 (/.f64 -1 (sqrt.f64 -1)) -1/2)) (fma.f64 -1 (fma.f64 (pow.f64 b_2 3) (+.f64 (/.f64 1/2 (.f64 a (.f64 c 1))) (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 -1 (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) -1/2)))) (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))) (/.f64 b_2 -1)))
(-.f64 (fma.f64 (.f64 b_2 b_2) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1/2 (sqrt.f64 -1))) (/.f64 b_2 -1)) (fma.f64 (pow.f64 b_2 3) (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) -1/2) 1) (/.f64 1/2 (.f64 c a))) (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))))
(-.f64 (fma.f64 (.f64 b_2 b_2) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1/2 (sqrt.f64 -1))) (/.f64 b_2 -1)) (fma.f64 (pow.f64 b_2 3) (+.f64 (/.f64 1/2 (.f64 c a)) (/.f64 (.f64 -1/2 (/.f64 (/.f64 1 (.f64 c a)) (neg.f64 (sqrt.f64 -1)))) (sqrt.f64 -1))) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 (/.f64 -1/2 b_2) (.f64 c a))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 a a)))) (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) (.f64 1/8 (/.f64 (.f64 (.f64 a a) (.f64 c (neg.f64 c))) (pow.f64 b_2 3))))
(fma.f64 -1/2 (.f64 a (/.f64 c b_2)) (.f64 (/.f64 1/8 (pow.f64 b_2 3)) (.f64 a (.f64 a (*.f64 c (neg.f64 c))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3)))) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 a a)))) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 1 (pow.f64 a 3))) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) (.f64 1/8 (/.f64 (.f64 (.f64 a a) (.f64 c (neg.f64 c))) (pow.f64 b_2 3)))))
(fma.f64 -1/2 (.f64 a (/.f64 c b_2)) (fma.f64 1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 a (neg.f64 a)))) c) (.f64 -1/16 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))))))
(+.f64 (.f64 1/128 (/.f64 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4))) (pow.f64 b_2 7))) (+.f64 (.f64 1/32 (/.f64 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4))) (pow.f64 b_2 7))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))))
(fma.f64 1/128 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 (sqrt.f64 -1) 6)) (pow.f64 a 4)) (pow.f64 b_2 7)) (fma.f64 1/32 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 (sqrt.f64 -1) 6)) (pow.f64 a 4)) (pow.f64 b_2 7)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3)))) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 a a)))) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))))
(+.f64 (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 1 (pow.f64 a 3))) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) (.f64 1/8 (/.f64 (.f64 (.f64 a a) (.f64 c (neg.f64 c))) (pow.f64 b_2 3))))) (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 7)) (*.f64 -1 (pow.f64 a 4))) 5/128))
(fma.f64 (.f64 (/.f64 (neg.f64 (pow.f64 c 4)) (pow.f64 b_2 7)) (pow.f64 a 4)) 5/128 (fma.f64 -1/2 (.f64 a (/.f64 c b_2)) (fma.f64 1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 a (neg.f64 a)))) c) (.f64 -1/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)))))))
(*.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (*.f64 2 b_2) (pow.f64 (sqrt.f64 -1) 2))
(/.f64 2 (/.f64 -1 b_2))
(*.f64 -2 b_2)
(+.f64 (.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 2 (/.f64 b_2 -1) (*.f64 1/2 (/.f64 a (/.f64 b_2 c))))
(fma.f64 1/2 (.f64 a (/.f64 c b_2)) (.f64 -2 b_2))
(+.f64 (.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))) (pow.f64 b_2 3)))))
(fma.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a a))) 1/8) (pow.f64 b_2 3)))))
(-.f64 (fma.f64 2 (/.f64 b_2 -1) (.f64 1/2 (/.f64 a (/.f64 b_2 c)))) (.f64 1/8 (/.f64 (.f64 (.f64 a a) (*.f64 c (neg.f64 c))) (pow.f64 b_2 3))))
(+.f64 (fma.f64 1/2 (.f64 a (/.f64 c b_2)) (.f64 -2 b_2)) (/.f64 (.f64 (.f64 a a) (.f64 1/8 (.f64 c c))) (pow.f64 b_2 3)))
(fma.f64 1/2 (.f64 a (/.f64 c b_2)) (fma.f64 -2 b_2 (/.f64 (.f64 (.f64 a a) (.f64 1/8 (*.f64 c c))) (pow.f64 b_2 3))))
(+.f64 (.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))) (pow.f64 b_2 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (+.f64 (.f64 1/16 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3)))) (.f64 1/4 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 a (+.f64 (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (.f64 -1/8 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))))))))) (pow.f64 b_2 5))))))
(fma.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 -1 (+.f64 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 a a))) 1/8) (pow.f64 b_2 3)) (/.f64 (fma.f64 -2 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 -1/8 (.f64 c c)) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a))) 2) (.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -1) 8)))) (.f64 c (.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (fma.f64 1/16 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3))) (.f64 (.f64 1/4 c) (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) a) (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a a))) 1/8))))) (pow.f64 b_2 5))))))
(fma.f64 2 (/.f64 b_2 -1) (-.f64 (-.f64 (.f64 1/2 (/.f64 a (/.f64 b_2 c))) (.f64 1/8 (/.f64 (.f64 (.f64 a a) (.f64 c (neg.f64 c))) (pow.f64 b_2 3)))) (/.f64 (fma.f64 -2 (/.f64 (fma.f64 1/16 (.f64 1 (.f64 (pow.f64 a 4) (pow.f64 c 4))) (pow.f64 (.f64 (.f64 (.f64 -1/8 c) c) (.f64 a (.f64 a 1))) 2)) (.f64 a (.f64 c 1))) (fma.f64 1/4 (.f64 (.f64 (.f64 (.f64 a a) (.f64 c (neg.f64 c))) (.f64 1/8 a)) (neg.f64 c)) (.f64 (pow.f64 c 3) (.f64 (*.f64 1 (pow.f64 a 3)) 1/16)))) (pow.f64 b_2 5))))
(+.f64 (fma.f64 1/2 (.f64 a (/.f64 c b_2)) (.f64 -2 b_2)) (-.f64 (/.f64 (.f64 (.f64 a a) (.f64 1/8 (.f64 c c))) (pow.f64 b_2 3)) (/.f64 (fma.f64 c (.f64 1/4 (.f64 a (.f64 (.f64 a a) (.f64 1/8 (.f64 c c))))) (fma.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) 1/16) (.f64 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 (pow.f64 c 4) 1/64) (*.f64 (pow.f64 c 4) 1/16))) c) (/.f64 -2 a)))) (pow.f64 b_2 5))))
(-.f64 (fma.f64 1/2 (.f64 a (/.f64 c b_2)) (fma.f64 -2 b_2 (/.f64 (.f64 (.f64 a a) (.f64 1/8 (.f64 c c))) (pow.f64 b_2 3)))) (/.f64 (fma.f64 c (.f64 1/4 (.f64 a (.f64 (.f64 a a) (.f64 1/8 (.f64 c c))))) (fma.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) 1/16) (.f64 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 (pow.f64 c 4) 1/64) (.f64 (pow.f64 c 4) 1/16))) c) (/.f64 -2 a)))) (pow.f64 b_2 5)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 (/.f64 -1/2 b_2) (.f64 c a))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 (/.f64 -1/2 b_2) (.f64 c a))

eval982.0ms (5.4%)

Compiler: Compiled 42362 to 17807 computations (58% saved)

prune360.0ms (2%)

Pruning

37 alts after pruning (34 fresh and 3 done)

	Pruned	Kept	Total
New	1312	25	1337
Fresh	8	9	17
Picked	1	0	1
Done	2	3	5
Total	1323	37	1360

Error

0.5b

Counts

1360 → 37

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.5b	(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
	46.2b	(*.f64 b_2 (/.f64 -2 a))
▶	38.3b	(/.f64 (/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))
	47.0b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
✓	30.9b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	34.6b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2))) a)
▶	46.1b	(/.f64 (*.f64 b_2 -2) a)
	39.9b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))) a)
	63.2b	(pow.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a) 3) 1/3)
	53.0b	(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) b_2) a)
	48.6b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
	52.6b	(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2) b_2) a)
	46.2b	(+.f64 (/.f64 -2 (/.f64 a b_2)) (*.f64 1/2 (/.f64 c b_2)))
	38.5b	(/.f64 -1/2 (/.f64 b_2 c))
	54.1b	(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b_2) a)
	53.4b	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (fma.f64 -1/4 (*.f64 (/.f64 b_2 (/.f64 a b_2)) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) c)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a)))) 2)) a)
	55.5b	(/.f64 (+.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))) a)
	44.8b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
▶	44.9b	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)) a)
▶	55.5b	(/.f64 0 a)
	39.6b	(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (.f64 (/.f64 -1/2 b_2) c))
	38.0b	(*.f64 (/.f64 -1/2 b_2) c)
	38.3b	(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
	59.4b	(/.f64 (neg.f64 b_2) a)
	40.9b	(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) a)
	46.5b	(/.f64 (/.f64 1 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
✓	37.9b	(*.f64 -1/2 (/.f64 c b_2))
✓	46.0b	(.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
	55.9b	(/.f64 1/2 (/.f64 b_2 c))
	62.2b	(/.f64 2 (/.f64 a b_2))
	46.2b	(pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
	35.0b	(/.f64 (/.f64 (.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) a)
	62.2b	(*.f64 (/.f64 1 a) (+.f64 b_2 b_2))
	46.1b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 c b_2))) 3))
	63.1b	(.f64 (/.f64 1 a) (+.f64 b_2 (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)))))
	62.2b	(*.f64 2 (/.f64 b_2 a))
	52.9b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (pow.f64 (.f64 (pow.f64 (/.f64 c b_2) 3) 1/8) 1/3))

Compiler

Compiled 1070 to 759 computations (29.1% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
✓	0.2b	(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
✓	0.2b	(-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
	12.7b	(sqrt.f64 (*.f64 a (neg.f64 c)))

Compiler

Compiled 54 to 15 computations (72.2% saved)

series39.0ms (0.2%)

Counts

2 → 24

Calls

18 calls:

Time	Variable		Point	Expression
19.0ms	c	@	-inf	(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
2.0ms	c	@	inf	(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
2.0ms	a	@	inf	(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
2.0ms	c	@	inf	(-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
2.0ms	c	@	0	(-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

583×	`log-prod_binary64`
548×	`prod-diff_binary64`
293×	`pow2_binary64`
239×	`fma-def_binary64`
206×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	277	27
2	3803	27

Stop Event

1×	node limit

Counts

2 → 156

Calls

Call 1

Inputs
(-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 b_2 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b_2 (*.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (fma.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (+.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (fma.f64 -1 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (cbrt.f64 (pow.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) 2)) (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) 2)) (*.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 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simplify60.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

901×	`times-frac_binary64`
640×	`associate-/l*_binary64`
457×	`associate-/r*_binary64`
456×	`fma-def_binary64`
295×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	138	1092
1	412	876
2	1637	804
3	6581	784

Stop Event

1×	node limit

Counts

180 → 204

Calls

Call 1

Inputs
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(+.f64 b_2 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 b_2 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 b_2 (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))))
(.f64 -1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (pow.f64 b_2 7))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(*.f64 2 b_2)
(+.f64 (.f64 2 b_2) (.f64 1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(+.f64 (.f64 2 b_2) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (.f64 2 b_2) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 -1 (/.f64 b_2 a))))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 -1 (/.f64 b_2 a)))))
(.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))
(+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))))
(+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (.f64 a (pow.f64 b_2 7)))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))

Outputs
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(neg.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)))
(.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (sqrt.f64 -1)))
(+.f64 b_2 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))
(+.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))) b_2)
(-.f64 b_2 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -1)) b_2)
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 b_2 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1))) (+.f64 (neg.f64 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))) b_2))
(-.f64 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) b_2) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 b_2 (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1))) (+.f64 b_2 (fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (neg.f64 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))))
(+.f64 (-.f64 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) b_2) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (.f64 1/8 (/.f64 (pow.f64 b_2 4) (neg.f64 (sqrt.f64 -1)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -1)) b_2)))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (fma.f64 -1/8 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4))) (fma.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (sqrt.f64 -1)) b_2)))
(.f64 -1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))
(.f64 -1/2 (/.f64 c (/.f64 b_2 (.f64 a (pow.f64 (sqrt.f64 -1) 2)))))
(/.f64 (.f64 (.f64 1/2 c) a) b_2)
(.f64 (/.f64 (.f64 c 1/2) b_2) a)
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (.f64 -1/2 (/.f64 c (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2))))))
(fma.f64 1/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 3) (.f64 a (.f64 a 1))) c)) (/.f64 (.f64 (.f64 1/2 c) a) b_2))
(fma.f64 1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 a a))) c) (.f64 (/.f64 (.f64 c 1/2) b_2) a))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (.f64 -1/2 (/.f64 c (/.f64 b_2 (.f64 a (pow.f64 (sqrt.f64 -1) 2)))))))
(fma.f64 1/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 3) (.f64 a (.f64 a 1))) c)) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 -1 (pow.f64 a 3))) (/.f64 (.f64 (.f64 1/2 c) a) b_2)))
(fma.f64 1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 a a))) c) (fma.f64 -1/16 (.f64 (/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b_2 5)) (pow.f64 a 3)) (.f64 (/.f64 (*.f64 c 1/2) b_2) a)))
(fma.f64 1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 a a))) c) (fma.f64 -1/16 (.f64 (pow.f64 (neg.f64 a) 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (.f64 (/.f64 (*.f64 c 1/2) b_2) a)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (pow.f64 b_2 7))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 -1/8 (.f64 c c)) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a))) 2) (.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4)))) (pow.f64 b_2 7)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (.f64 -1/2 (/.f64 c (/.f64 b_2 (.f64 a (pow.f64 (sqrt.f64 -1) 2))))))))
(fma.f64 1/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 3) (.f64 a (.f64 a 1))) c)) (fma.f64 1/2 (/.f64 (fma.f64 1/16 (.f64 1 (.f64 (pow.f64 a 4) (pow.f64 c 4))) (pow.f64 (.f64 (.f64 c c) (.f64 (.f64 a (.f64 a 1)) -1/8)) 2)) (pow.f64 b_2 7)) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 -1 (pow.f64 a 3))) (/.f64 (.f64 (*.f64 1/2 c) a) b_2))))
(fma.f64 1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 a a))) c) (fma.f64 1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 (pow.f64 c 4) 1/64) (.f64 1/16 (pow.f64 c 4)))) (pow.f64 b_2 7)) (fma.f64 -1/16 (.f64 (/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b_2 5)) (pow.f64 a 3)) (.f64 (/.f64 (.f64 c 1/2) b_2) a))))
(fma.f64 1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 a a))) c) (fma.f64 1/2 (/.f64 (.f64 (pow.f64 a 4) (.f64 (pow.f64 c 4) 5/64)) (pow.f64 b_2 7)) (fma.f64 -1/16 (.f64 (pow.f64 (neg.f64 a) 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (.f64 (/.f64 (*.f64 c 1/2) b_2) a))))
(*.f64 2 b_2)
(*.f64 b_2 2)
(+.f64 (.f64 2 b_2) (.f64 1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(fma.f64 2 b_2 (.f64 (/.f64 c (/.f64 b_2 (.f64 a (pow.f64 (sqrt.f64 -1) 2)))) 1/2))
(fma.f64 b_2 2 (/.f64 (.f64 (.f64 -1/2 c) a) b_2))
(fma.f64 b_2 2 (.f64 (/.f64 (.f64 c -1/2) b_2) a))
(+.f64 (.f64 2 b_2) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(fma.f64 2 b_2 (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (.f64 (/.f64 c (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))) 1/2)))
(fma.f64 b_2 2 (fma.f64 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 3) (.f64 a (.f64 a 1))) c)) -1/8 (/.f64 (.f64 (.f64 -1/2 c) a) b_2)))
(fma.f64 b_2 2 (fma.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 a a))) c) -1/8 (.f64 (/.f64 (.f64 c -1/2) b_2) a)))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (.f64 2 b_2) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (fma.f64 2 b_2 (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (.f64 (/.f64 c (/.f64 b_2 (.f64 a (pow.f64 (sqrt.f64 -1) 2)))) 1/2))))
(fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 -1 (pow.f64 a 3))) 1/16 (fma.f64 b_2 2 (fma.f64 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 3) (.f64 a (.f64 a 1))) c)) -1/8 (/.f64 (.f64 (.f64 -1/2 c) a) b_2))))
(fma.f64 b_2 2 (fma.f64 (.f64 (/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b_2 5)) (pow.f64 a 3)) 1/16 (fma.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 a a))) c) -1/8 (.f64 (/.f64 (*.f64 c -1/2) b_2) a))))
(fma.f64 b_2 2 (fma.f64 (.f64 (pow.f64 (neg.f64 a) 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) 1/16 (fma.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 a a))) c) -1/8 (.f64 (/.f64 (*.f64 c -1/2) b_2) a))))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (neg.f64 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 -1 (/.f64 b_2 a))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (neg.f64 (/.f64 b_2 a))))
(-.f64 (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) 1/2))) (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 -1 (/.f64 b_2 a)))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (.f64 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5)))) (fma.f64 1/2 (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (neg.f64 (/.f64 b_2 a)))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (-.f64 (fma.f64 (.f64 -1/8 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1))) (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) 1/2))) (/.f64 b_2 a)))
(-.f64 (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (fma.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) (.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (.f64 1/8 (/.f64 (pow.f64 b_2 4) (/.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5)))))))) (/.f64 b_2 a))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) 1/2) (fma.f64 1/8 (/.f64 (pow.f64 b_2 4) (/.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))))) (/.f64 (neg.f64 b_2) a))))
(.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 (*.f64 c -1/2) b_2)
(+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))))
(fma.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4))))))
(fma.f64 -1/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 3) (.f64 a 1)) c)) (/.f64 (.f64 -1/2 c) b_2))
(fma.f64 -1/8 (.f64 (/.f64 a (pow.f64 b_2 3)) (.f64 c c)) (/.f64 (*.f64 c -1/2) b_2))
(+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5)))))
(fma.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1) 6)))))))
(+.f64 (/.f64 (.f64 -1/2 c) b_2) (fma.f64 -1/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 3) (.f64 a 1)) c)) (/.f64 (.f64 1/16 (.f64 -1 (.f64 (.f64 a a) (pow.f64 c 3)))) (pow.f64 b_2 5))))
(fma.f64 -1/8 (.f64 (/.f64 a (pow.f64 b_2 3)) (.f64 c c)) (fma.f64 1/16 (.f64 (.f64 a (neg.f64 a)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (/.f64 (*.f64 c -1/2) b_2)))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (.f64 a (pow.f64 b_2 7)))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 -1/8 (.f64 c c)) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a))) 2) (.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4)))) (.f64 a (pow.f64 b_2 7))) (fma.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -1) 6))))))))
(fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 1 (.f64 (pow.f64 a 4) (pow.f64 c 4))) (pow.f64 (.f64 (.f64 c c) (.f64 (.f64 a (.f64 a 1)) -1/8)) 2)) (.f64 a (pow.f64 b_2 7))) (+.f64 (/.f64 (.f64 -1/2 c) b_2) (fma.f64 -1/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 3) (.f64 a 1)) c)) (/.f64 (.f64 1/16 (.f64 -1 (.f64 (.f64 a a) (pow.f64 c 3)))) (pow.f64 b_2 5)))))
(fma.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 (pow.f64 c 4) 1/64) (.f64 1/16 (pow.f64 c 4)))) (.f64 a (pow.f64 b_2 7))) (fma.f64 -1/8 (.f64 (/.f64 a (pow.f64 b_2 3)) (.f64 c c)) (fma.f64 1/16 (.f64 (.f64 a (neg.f64 a)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (/.f64 (*.f64 c -1/2) b_2))))
(fma.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (.f64 (pow.f64 c 4) 5/64)) (.f64 a (pow.f64 b_2 7))) (fma.f64 -1/8 (.f64 (/.f64 a (pow.f64 b_2 3)) (.f64 c c)) (fma.f64 1/16 (.f64 (.f64 a (neg.f64 a)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (/.f64 (.f64 c -1/2) b_2))))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 (/.f64 b_2 a) -2)
(/.f64 b_2 (/.f64 a -2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)))))
(fma.f64 (/.f64 b_2 a) -2 (/.f64 (*.f64 1/2 c) b_2))
(fma.f64 (/.f64 b_2 a) -2 (/.f64 (*.f64 c 1/2) b_2))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))))))
(fma.f64 1/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 3) (.f64 a 1)) c)) (fma.f64 (/.f64 b_2 a) -2 (/.f64 (.f64 1/2 c) b_2)))
(fma.f64 1/8 (.f64 (/.f64 a (pow.f64 b_2 3)) (.f64 c c)) (fma.f64 (/.f64 b_2 a) -2 (/.f64 (*.f64 c 1/2) b_2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (fma.f64 -2 (/.f64 b_2 a) (fma.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1) 6))))))))
(fma.f64 1/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 3) (.f64 a 1)) c)) (fma.f64 (/.f64 b_2 a) -2 (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a (.f64 -1 a))) (/.f64 (*.f64 1/2 c) b_2))))
(fma.f64 1/8 (.f64 (/.f64 a (pow.f64 b_2 3)) (.f64 c c)) (fma.f64 -1/16 (.f64 (.f64 a (neg.f64 a)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 (/.f64 b_2 a) -2 (/.f64 (*.f64 c 1/2) b_2))))

localize3.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

localize11.0ms (0.1%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2))
✓	0.1b	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)) a)
✓	0.3b	(pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)
✓	13.6b	(pow.f64 (*.f64 c (neg.f64 a)) 1/4)

Compiler

Compiled 54 to 25 computations (53.7% saved)

series168.0ms (0.9%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
45.0ms	c	@	0	(pow.f64 (*.f64 c (neg.f64 a)) 1/4)
41.0ms	c	@	-inf	(pow.f64 (*.f64 c (neg.f64 a)) 1/4)
21.0ms	a	@	0	(pow.f64 (*.f64 c (neg.f64 a)) 1/4)
16.0ms	a	@	-inf	(pow.f64 (*.f64 c (neg.f64 a)) 1/4)
8.0ms	a	@	-inf	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)) a)

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

582×	`log-prod_binary64`
307×	`pow2_binary64`
284×	`fma-def_binary64`
250×	`pow-unpow_binary64`
208×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	295	34
2	4004	34

Stop Event

1×	node limit

Counts

4 → 162

Calls

Call 1

Inputs
(pow.f64 (*.f64 c (neg.f64 a)) 1/4)
(pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)) a)
(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (.f64 c a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 c a) 1/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 c a) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 c a) 1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 c a) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 c a) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 c a) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (.f64 c a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 c a) 1/6) (pow.f64 (.f64 c a) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 c a) 1/12) (pow.f64 (.f64 c a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 c 1/4) (pow.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 a 1/4) (pow.f64 c 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 c a) 1/8) (pow.f64 (.f64 c a) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/4) (pow.f64 (.f64 c a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (sqrt.f64 (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (.f64 c a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 c a) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 c a) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 c a) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 c a) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 c a) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (.f64 c a) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (*.f64 c a) 1/4)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 c a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 c a))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 c a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 c a) 1/4) (pow.f64 (.f64 c a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 c a) 1/6) (cbrt.f64 (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 c a) 1/6) (.f64 (pow.f64 (.f64 c a) 1/12) (pow.f64 (.f64 c a) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 c a)) (pow.f64 (.f64 c a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 c) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 a) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 c 1/4) (.f64 (pow.f64 a 1/4) (pow.f64 (.f64 c a) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 c a) 1/8) (.f64 (pow.f64 (.f64 c a) 1/8) (pow.f64 (.f64 c a) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 c a) 1/8) 3) (pow.f64 (.f64 c a) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 c a) 1/4) (pow.f64 (.f64 c a) 1/6)) (pow.f64 (.f64 c a) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 c a) 1/4) (pow.f64 c 1/4)) (pow.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 c a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 c a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (*.f64 c a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)) 2) (.f64 (cbrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a)) (cbrt.f64 (/.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 a a))) (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)) (.f64 (sqrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a)) (sqrt.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 b_2 (sqrt.f64 (.f64 c a))) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)) 1) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 a) -2) (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)) 2) (cbrt.f64 (.f64 a a))) (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)) (cbrt.f64 (.f64 a a))) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 a -1/2) (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 a a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (.f64 c a)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 b_2 (sqrt.f64 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (.f64 c a)))) (/.f64 (.f64 c a) (-.f64 b_2 (sqrt.f64 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (.f64 c a)) 0) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)) (sqrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (.f64 c a) 3/2)) (/.f64 1 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 (sqrt.f64 (.f64 c a)) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 b_2 b_2 (.f64 c a)) (/.f64 1 (-.f64 b_2 (sqrt.f64 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 (sqrt.f64 (.f64 c a)) b_2))) (+.f64 (pow.f64 b_2 3) (pow.f64 (.f64 c a) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b_2 (sqrt.f64 (.f64 c a))) (fma.f64 b_2 b_2 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (.f64 c a) 3/2)) (fma.f64 b_2 b_2 (fma.f64 c a (.f64 (sqrt.f64 (.f64 c a)) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (.f64 c a) 3/2)) (fma.f64 c a (fma.f64 b_2 b_2 (.f64 (sqrt.f64 (.f64 c a)) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 b_2 b_2 (.f64 c a)) (-.f64 b_2 (sqrt.f64 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (.f64 c a) 3/2))) (neg.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 (sqrt.f64 (.f64 c a)) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 b_2 b_2 (.f64 c a))) (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 c a (.f64 b_2 b_2)) (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 (sqrt.f64 (.f64 c a)) b_2))) (+.f64 (pow.f64 b_2 3) (pow.f64 (.f64 c a) 3/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (.f64 c a))) (fma.f64 b_2 b_2 (.f64 c a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 b_2 (sqrt.f64 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (-.f64 b_2 (sqrt.f64 (.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 c a)))) (exp.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (sqrt.f64 (.f64 c a))) (+.f64 1 (expm1.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 c a)))) (+.f64 1 (expm1.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 c a)))) (exp.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (sqrt.f64 (.f64 c a))) (+.f64 1 (expm1.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 c a)))) (+.f64 1 (expm1.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 b_2)) (exp.f64 (sqrt.f64 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 b_2) (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 b_2)) (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 c a) 1/4) (pow.f64 (.f64 c a) 1/4) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 c a)) 1 b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b_2 1 (sqrt.f64 (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b_2 -1 (sqrt.f64 (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (.f64 c a)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b_2 (sqrt.f64 (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b_2) (cbrt.f64 (.f64 b_2 b_2)) (sqrt.f64 (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 b_2 b_2)) (cbrt.f64 b_2) (sqrt.f64 (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 b_2 b_2)) (neg.f64 (cbrt.f64 b_2)) (sqrt.f64 (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 c a) 1/6) (cbrt.f64 (.f64 c a)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 c a) 1/6) (.f64 (pow.f64 (.f64 c a) 1/12) (pow.f64 (.f64 c a) 1/4)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 c a)) (pow.f64 (.f64 c a) 1/6) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b_2) (sqrt.f64 b_2) (sqrt.f64 (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b_2) (neg.f64 (sqrt.f64 b_2)) (sqrt.f64 (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 c) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 c 1/4) (.f64 (pow.f64 a 1/4) (pow.f64 (.f64 c a) 1/4)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 b_2 (sqrt.f64 (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 c a) 1/8) (.f64 (pow.f64 (.f64 c a) 1/8) (pow.f64 (.f64 c a) 1/4)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (.f64 c a) 1/8) 3) (pow.f64 (.f64 c a) 1/8) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 c a)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (.f64 b_2 b_2))) (cbrt.f64 b_2) (sqrt.f64 (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 b_2)) (sqrt.f64 b_2) (sqrt.f64 (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (cbrt.f64 (.f64 b_2 b_2))) (cbrt.f64 b_2) (sqrt.f64 (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (sqrt.f64 b_2)) (sqrt.f64 b_2) (sqrt.f64 (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 (.f64 c a) 1/4) (pow.f64 (.f64 c a) 1/6)) (pow.f64 (.f64 c a) 1/12) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 (*.f64 c a) 1/4) (pow.f64 c 1/4)) (pow.f64 a 1/4) b_2)))))

simplify96.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

721×	`times-frac_binary64`
610×	`fma-neg_binary64`
398×	`fma-def_binary64`
244×	`unsub-neg_binary64`
231×	`exp-sum_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	2191
1	199	2191
2	466	1903
3	1196	1327
4	4551	1327

Stop Event

1×	node limit

Counts

282 → 201

Calls

Call 1

Inputs
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(*.f64 -1 (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(*.f64 -1 (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a))))) 2) b_2) a)
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a))))) 2) b_2) a)
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a))))) 2) b_2) a)
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a))))) 2) b_2) a)
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a))))) 2) b_2) a)
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a))))) 2) b_2) a)
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a))))) 2) b_2) a)
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a))))) 2) b_2) a)
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2) b_2) a)
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2) b_2) a)
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2) b_2) a)
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2) b_2) a)
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a)))) 2) b_2) a)
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a)))) 2) b_2) a)
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a)))) 2) b_2) a)
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a)))) 2) b_2) a)
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c))))) 2) b_2) a)
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c))))) 2) b_2) a)
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c))))) 2) b_2) a)
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c))))) 2) b_2) a)
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b_2) a)
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b_2) a)
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b_2) a)
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b_2) a)
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(*.f64 -1 b_2)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(*.f64 -1 b_2)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a))))) 2) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a))))) 2) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a))))) 2) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a))))) 2) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a))))) 2) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a))))) 2) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a))))) 2) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a))))) 2) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c))))) 2) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c))))) 2) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c))))) 2) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c))))) 2) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b_2)

Outputs
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c))))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c))))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c))))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c))))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c))))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c))))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c))))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c))))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c))))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c))))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c))))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c))))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c))))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c))))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c))))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c))))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c))))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c))))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c))))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c))))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c))))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c))))
(*.f64 (pow.f64 c 1/4) (pow.f64 (neg.f64 a) 1/4))
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
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(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -1 a))))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c)))) 2) b_2)
(-.f64 (exp.f64 (*.f64 (+.f64 (log.f64 c) (log.f64 (neg.f64 a))) 1/2)) b_2)
(-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c)))) 2) b_2)
(-.f64 (exp.f64 (*.f64 (+.f64 (log.f64 c) (log.f64 (neg.f64 a))) 1/2)) b_2)
(-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c)))) 2) b_2)
(-.f64 (exp.f64 (*.f64 (+.f64 (log.f64 c) (log.f64 (neg.f64 a))) 1/2)) b_2)
(-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c)))) 2) b_2)
(-.f64 (exp.f64 (*.f64 (+.f64 (log.f64 c) (log.f64 (neg.f64 a))) 1/2)) b_2)
(-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c)))) 2) b_2)
(-.f64 (exp.f64 (*.f64 (+.f64 (log.f64 c) (log.f64 (neg.f64 a))) 1/2)) b_2)
(-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c)))) 2) b_2)
(-.f64 (exp.f64 (*.f64 (+.f64 (log.f64 c) (log.f64 (neg.f64 a))) 1/2)) b_2)
(-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c)))) 2) b_2)
(-.f64 (exp.f64 (*.f64 (+.f64 (log.f64 c) (log.f64 (neg.f64 a))) 1/2)) b_2)
(-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c)))) 2) b_2)
(-.f64 (exp.f64 (*.f64 (+.f64 (log.f64 c) (log.f64 (neg.f64 a))) 1/2)) b_2)
(-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c)))) 2) b_2)
(-.f64 (exp.f64 (*.f64 (+.f64 (log.f64 c) (log.f64 (neg.f64 a))) 1/2)) b_2)
(-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c))))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c)))) 2) b_2)
(-.f64 (exp.f64 (*.f64 (+.f64 (log.f64 c) (log.f64 (neg.f64 a))) 1/2)) b_2)
(-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c))))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c)))) 2) b_2)
(-.f64 (exp.f64 (*.f64 (+.f64 (log.f64 c) (log.f64 (neg.f64 a))) 1/2)) b_2)
(-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c))))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c)))) 2) b_2)
(-.f64 (exp.f64 (*.f64 (+.f64 (log.f64 c) (log.f64 (neg.f64 a))) 1/2)) b_2)
(-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -1 c))))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c)))) 2) b_2)
(-.f64 (exp.f64 (*.f64 (+.f64 (log.f64 c) (log.f64 (neg.f64 a))) 1/2)) b_2)
(-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c)))) 2) b_2)
(-.f64 (exp.f64 (*.f64 (+.f64 (log.f64 c) (log.f64 (neg.f64 a))) 1/2)) b_2)
(-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c)))) 2) b_2)
(-.f64 (exp.f64 (*.f64 (+.f64 (log.f64 c) (log.f64 (neg.f64 a))) 1/2)) b_2)
(-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c)))) 2) b_2)
(-.f64 (exp.f64 (*.f64 (+.f64 (log.f64 c) (log.f64 (neg.f64 a))) 1/2)) b_2)
(-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (neg.f64 a)))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 (neg.f64 c)))) 2) b_2)
(-.f64 (exp.f64 (*.f64 (+.f64 (log.f64 c) (log.f64 (neg.f64 a))) 1/2)) b_2)
(-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2))
✓	0.2b	(/.f64 (/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))
✓	0.5b	(pow.f64 (cbrt.f64 b_2) 2)
✓	0.5b	(cbrt.f64 b_2)

Compiler

Compiled 35 to 21 computations (40% saved)

series14.0ms (0.1%)

Counts

4 → 36

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	c	@	0	(/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2))
3.0ms	b_2	@	-inf	(/.f64 (/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))
1.0ms	b_2	@	-inf	(/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2))
1.0ms	b_2	@	-inf	(pow.f64 (cbrt.f64 b_2) 2)
1.0ms	b_2	@	-inf	(cbrt.f64 b_2)

rewrite92.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

536×	`log-prod_binary64`
411×	`exp-prod_binary64`
291×	`pow-prod-down_binary64`
260×	`pow2_binary64`
183×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	217	28
2	2854	28

Stop Event

1×	node limit

Counts

4 → 180

Calls

Call 1

Inputs
(cbrt.f64 b_2)
(pow.f64 (cbrt.f64 b_2) 2)
(/.f64 (/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))
(/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2))

Outputs
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#<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 -1/2 c)) (cbrt.f64 b_2)) (/.f64 (sqrt.f64 (.f64 -1/2 c)) (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 c 1/2) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 b_2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 b_2) -2) (.f64 -1/2 c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 b_2)) (/.f64 (.f64 -1/2 c) (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1/2 (cbrt.f64 b_2)) (/.f64 c (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (cbrt.f64 b_2)) (/.f64 -1/2 (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 1/4 (.f64 c c))) (cbrt.f64 b_2)) (cbrt.f64 (/.f64 -1/2 (/.f64 b_2 c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c 1) (/.f64 -1/2 (pow.f64 (cbrt.f64 b_2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 b_2) 2)) c)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 1/4 (.f64 c c))) 1) (/.f64 (cbrt.f64 (.f64 -1/2 c)) (pow.f64 (cbrt.f64 b_2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 -1/2 c)) 1) (/.f64 (sqrt.f64 (.f64 -1/2 c)) (pow.f64 (cbrt.f64 b_2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 4)) (/.f64 c (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 4)) (/.f64 -1/2 (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 4)) (/.f64 (.f64 -1/2 c) (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 1/4 (.f64 c c))) (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 4)) (cbrt.f64 (.f64 -1/2 (/.f64 c (pow.f64 (cbrt.f64 b_2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 -1/2 c)) (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 4)) (/.f64 (sqrt.f64 (.f64 -1/2 c)) (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/2 (/.f64 c (pow.f64 (cbrt.f64 b_2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -1/2 c)) (cbrt.f64 b_2)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -1/2 c)) (cbrt.f64 b_2)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 -1/2 (/.f64 c (pow.f64 (cbrt.f64 b_2) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (.f64 -1/2 c)) (cbrt.f64 b_2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cbrt.f64 b_2) 2) (.f64 -1/2 c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (-.f64 (log.f64 (.f64 -1/2 c)) (.f64 2/3 (log.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (.f64 -1/2 c) 3) (.f64 b_2 b_2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 b_2) 2) (.f64 -1/2 c)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (.f64 -1/2 c)) (.f64 2/3 (log.f64 b_2)))) 2)) (cbrt.f64 (-.f64 (log.f64 (.f64 -1/2 c)) (.f64 2/3 (log.f64 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 (.f64 -1/2 c)) (.f64 2/3 (log.f64 b_2))))) (sqrt.f64 (-.f64 (log.f64 (.f64 -1/2 c)) (.f64 2/3 (log.f64 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 -1/2 c) (neg.f64 (pow.f64 (cbrt.f64 b_2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -1/2 c)) (cbrt.f64 b_2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) c) (pow.f64 (cbrt.f64 b_2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 (/.f64 c (pow.f64 (cbrt.f64 b_2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -1/2 c)) (cbrt.f64 b_2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 -1/2 c) 3) (.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -1/2 (/.f64 c (pow.f64 (cbrt.f64 b_2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 -1/2 (/.f64 c (pow.f64 (cbrt.f64 b_2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (.f64 -1/2 c)) (.f64 2/3 (log.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (log.f64 (.f64 -1/2 c)) (.f64 2/3 (log.f64 b_2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -1/2 c)) (cbrt.f64 b_2)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -1/2 (/.f64 c (pow.f64 (cbrt.f64 b_2) 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 -1/2 c)) (cbrt.f64 b_2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (.f64 2/3 (log.f64 b_2)) (log.f64 (.f64 -1/2 c))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (-.f64 (log.f64 (.f64 -1/2 c)) (.f64 2/3 (log.f64 b_2))) 1) 1))))))

simplify113.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

713×	`associate-*l/_binary64`
511×	`associate-/r/_binary64`
473×	`sqr-pow_binary64`
464×	`associate-*r/_binary64`
450×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	348
1	31	348
2	59	348
3	126	348
4	329	348
5	1095	348
6	2154	348
7	4106	348
8	4971	348
9	5192	348
10	5466	348
11	5867	348
12	6440	348
13	7725	348

Stop Event

1×	node limit

Counts

216 → 184

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))

Outputs
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 (.f64 -1/2 c) (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 (/.f64 1 b_2) b_2))))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 (.f64 -1/2 c) (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 (/.f64 1 b_2) b_2))))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 (.f64 -1/2 c) (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 (/.f64 1 b_2) b_2))))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 (.f64 -1/2 c) (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 (/.f64 1 b_2) b_2))))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 (.f64 -1/2 c) (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 (/.f64 1 b_2) b_2))))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 (.f64 -1/2 c) (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 (/.f64 1 b_2) b_2))))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 (.f64 -1/2 c) (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 (/.f64 1 b_2) b_2))))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 (.f64 -1/2 c) (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 (/.f64 1 b_2) b_2))))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 (.f64 -1/2 c) (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 (/.f64 1 b_2) b_2))))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 (.f64 -1/2 c) (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 (/.f64 1 b_2) b_2))))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 (.f64 -1/2 c) (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 (/.f64 1 b_2) b_2))))
(.f64 -1/2 (.f64 c (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3)))
(.f64 (.f64 -1/2 c) (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 1 (*.f64 b_2 b_2)))))
(.f64 -1/2 (.f64 c (cbrt.f64 (/.f64 (/.f64 1 b_2) b_2))))

eval227.0ms (1.2%)

Compiler: Compiled 13038 to 5982 computations (54.1% saved)

prune200.0ms (1.1%)

Pruning

39 alts after pruning (32 fresh and 7 done)

	Pruned	Kept	Total
New	691	8	699
Fresh	5	24	29
Picked	1	0	1
Done	0	7	7
Total	697	39	736

Error

0.5b

Counts

736 → 39

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.5b	(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
	46.2b	(*.f64 b_2 (/.f64 -2 a))
	47.0b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
✓	30.9b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
▶	34.6b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2))) a)
✓	46.1b	(/.f64 (*.f64 b_2 -2) a)
	39.9b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))) a)
	63.2b	(pow.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a) 3) 1/3)
	53.0b	(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) b_2) a)
▶	46.2b	(+.f64 (/.f64 -2 (/.f64 a b_2)) (*.f64 1/2 (/.f64 c b_2)))
	38.5b	(/.f64 -1/2 (/.f64 b_2 c))
	53.4b	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (fma.f64 -1/4 (*.f64 (/.f64 b_2 (/.f64 a b_2)) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) c)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a)))) 2)) a)
	44.8b	(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
	46.0b	(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 -1/2 (/.f64 b_2 c)))) 1/3))
	52.6b	(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a)))) 2) b_2) a)
	41.5b	(.f64 (.f64 (/.f64 (*.f64 c 1/2) b_2) a) (/.f64 1 (neg.f64 a)))
	55.5b	(/.f64 (+.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))) a)
✓	55.5b	(/.f64 0 a)
	54.1b	(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a))))) 2) b_2) a)
	39.6b	(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (.f64 (/.f64 -1/2 b_2) c))
✓	44.9b	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)) a)
	38.0b	(*.f64 (/.f64 -1/2 b_2) c)
	38.3b	(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
	40.9b	(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) a)
	46.5b	(/.f64 (/.f64 1 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
✓	37.9b	(*.f64 -1/2 (/.f64 c b_2))
✓	46.0b	(.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
	55.9b	(/.f64 1/2 (/.f64 b_2 c))
	62.2b	(/.f64 2 (/.f64 a b_2))
▶	46.2b	(pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
	62.2b	(*.f64 2 (/.f64 b_2 a))
▶	59.4b	(/.f64 (neg.f64 b_2) a)
	52.9b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (pow.f64 (.f64 (pow.f64 (/.f64 c b_2) 3) 1/8) 1/3))
	40.1b	(/.f64 (/.f64 (.f64 -1/2 c) (exp.f64 (.f64 (*.f64 (log.f64 (cbrt.f64 b_2)) 1) 2))) (cbrt.f64 b_2))
	35.0b	(/.f64 (/.f64 (.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) a)
	46.2b	(.f64 (-.f64 b_2 (-.f64 (.f64 (/.f64 1/2 (/.f64 b_2 c)) a) b_2)) (/.f64 1 (neg.f64 a)))
	62.2b	(*.f64 (/.f64 1 a) (+.f64 b_2 b_2))
▶	46.1b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 c b_2))) 3))
	63.1b	(.f64 (/.f64 1 a) (+.f64 b_2 (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)))))

Compiler

Compiled 1089 to 774 computations (28.9% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	5.3b	(exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2))
✓	20.9b	(log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	24.0b	(+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2)))

Compiler

Compiled 81 to 23 computations (71.6% saved)

series12.0ms (0.1%)

Counts

3 → 76

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	b_2	@	0	(+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2)))
0.0ms	b_2	@	0	(log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
0.0ms	b_2	@	inf	(log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
0.0ms	c	@	inf	(+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2)))
0.0ms	a	@	inf	(+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2)))

rewrite111.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`log-prod_binary64`
611×	`fma-def_binary64`
339×	`pow2_binary64`
323×	`fma-neg_binary64`
232×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	288	39
2	3989	37

Stop Event

1×	node limit

Counts

3 → 155

Calls

Call 1

Inputs

(+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2)))

(log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))

(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) 0) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 2) (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)) (/.f64 1 (-.f64 (fma.f64 b_2 b_2 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 1 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 b_2 b_2 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)) (-.f64 (fma.f64 b_2 b_2 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))) (neg.f64 (-.f64 (fma.f64 b_2 b_2 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 b_2 b_2 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (exp.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) (exp.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (+.f64 1 (expm1.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) (+.f64 1 (expm1.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b_2)) (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 b_2) (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b_2)) (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) (exp.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (+.f64 1 (expm1.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) (+.f64 1 (expm1.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b_2 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b_2 -1 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) 1 b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 b_2) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b_2) 2) (neg.f64 (cbrt.f64 b_2)) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b_2) (sqrt.f64 b_2) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b_2) (neg.f64 (sqrt.f64 b_2)) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) 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simplify79.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

800×	`associate-r_binary64`
781×	`associate-/r*_binary64`
739×	`associate-/l*_binary64`
676×	`associate-l_binary64`
332×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	220	2586
1	694	2486
2	2372	2420

Stop Event

1×	node limit

Counts

231 → 253

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (pow.f64 b_2 7))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(*.f64 -2 b_2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 4)) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(log.f64 (neg.f64 (*.f64 c a)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b_2 2) (.f64 c a))) (log.f64 (neg.f64 (*.f64 c a))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b_2 2) (.f64 c a))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (log.f64 (neg.f64 (*.f64 c a)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b_2 2) (.f64 c a))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 b_2 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (log.f64 (neg.f64 (*.f64 c a))))))
(*.f64 -2 (log.f64 (/.f64 1 b_2)))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b_2 2))) (*.f64 -2 (log.f64 (/.f64 1 b_2))))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b_2 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4))) (*.f64 -2 (log.f64 (/.f64 1 b_2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b_2 2))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 6))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4))) (*.f64 -2 (log.f64 (/.f64 1 b_2))))))
(*.f64 -2 (log.f64 (/.f64 -1 b_2)))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b_2 2))) (*.f64 -2 (log.f64 (/.f64 -1 b_2))))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b_2 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 b_2))) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4)))))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b_2 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 b_2))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 6))) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4))))))
(log.f64 (pow.f64 b_2 2))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b_2 2))) (log.f64 (pow.f64 b_2 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b_2 2))) (+.f64 (log.f64 (pow.f64 b_2 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4)))))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b_2 2))) (+.f64 (log.f64 (pow.f64 b_2 2)) (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 6))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b_2 2) (.f64 c a))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b_2 2) (.f64 c a))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b_2 2) (.f64 c a))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 b_2 6) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (log.f64 (neg.f64 c))))))
(+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b_2 2) (.f64 c a))) (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b_2 2) (.f64 c a))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b_2 2) (.f64 c a))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 b_2 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 -1 (log.f64 (/.f64 -1 a)))))))
(log.f64 (pow.f64 b_2 2))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b_2 2))) (log.f64 (pow.f64 b_2 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b_2 2))) (+.f64 (log.f64 (pow.f64 b_2 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4)))))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b_2 2))) (+.f64 (log.f64 (pow.f64 b_2 2)) (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 6))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4))))))
(+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b_2 2) (.f64 c a))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (neg.f64 a))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b_2 2) (.f64 c a))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (neg.f64 a)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b_2 2) (.f64 c a))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (+.f64 (log.f64 (neg.f64 a)) (.f64 -1/3 (/.f64 (pow.f64 b_2 6) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))))))
(+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b_2 2) (.f64 c a))) (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b_2 2) (.f64 c a))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c))))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b_2 2) (.f64 c a))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (.f64 -1/3 (/.f64 (pow.f64 b_2 6) (.f64 (pow.f64 c 3) (pow.f64 a 3))))))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(*.f64 -1 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (neg.f64 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1 b_2 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (-.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)) 1/2)) b_2))
(-.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)) 1/2))) b_2)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1 b_2 (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (-.f64 (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1)))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) 1/2))) b_2))
(-.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (neg.f64 (sqrt.f64 -1)))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)) 1/2)))) b_2)
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (.f64 -1/2 (*.f64 (/.f64 c b_2) a)))
(fma.f64 -1/8 (.f64 (.f64 (/.f64 a (pow.f64 b_2 3)) a) (.f64 c c)) (.f64 -1/2 (*.f64 (/.f64 a b_2) c)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (.f64 -1/2 (*.f64 (/.f64 c b_2) a))))
(fma.f64 -1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (fma.f64 -1/8 (.f64 (.f64 (/.f64 a (pow.f64 b_2 3)) a) (.f64 c c)) (.f64 -1/2 (*.f64 (/.f64 a b_2) c))))
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(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1)))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) 1/2))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (neg.f64 (sqrt.f64 -1)))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)) 1/2))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1)))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) 1/2)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (neg.f64 (sqrt.f64 -1)))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)) 1/2)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)
(fma.f64 -1/2 (*.f64 (/.f64 a b_2) c) b_2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 -1/2 (.f64 (/.f64 c b_2) a) b_2))
(fma.f64 -1/8 (.f64 (.f64 (/.f64 a (pow.f64 b_2 3)) a) (.f64 c c)) (fma.f64 -1/2 (.f64 (/.f64 a b_2) c) b_2))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 -1/2 (.f64 (/.f64 c b_2) a) b_2)))
(fma.f64 -1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (fma.f64 -1/8 (.f64 (.f64 (/.f64 a (pow.f64 b_2 3)) a) (.f64 c c)) (fma.f64 -1/2 (.f64 (/.f64 a b_2) c) b_2)))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(-.f64 (.f64 1/2 (.f64 (/.f64 c b_2) a)) b_2)
(fma.f64 1/2 (*.f64 (/.f64 a b_2) c) (neg.f64 b_2))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
(-.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) 1/8 (.f64 1/2 (*.f64 (/.f64 c b_2) a))) b_2)
(-.f64 (fma.f64 1/2 (.f64 (/.f64 a b_2) c) (.f64 (/.f64 1/8 (pow.f64 b_2 3)) (.f64 (.f64 c a) (*.f64 c a)))) b_2)
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (.f64 1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) 1/16 (-.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) 1/8 (.f64 1/2 (*.f64 (/.f64 c b_2) a))) b_2))
(fma.f64 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) 1/16 (-.f64 (fma.f64 1/2 (.f64 (/.f64 a b_2) c) (.f64 (/.f64 1/8 (pow.f64 b_2 3)) (.f64 (.f64 c a) (*.f64 c a)))) b_2))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)
(fma.f64 -1/2 (*.f64 (/.f64 a b_2) c) b_2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 -1/2 (.f64 (/.f64 c b_2) a) b_2))
(fma.f64 -1/8 (.f64 (.f64 (/.f64 a (pow.f64 b_2 3)) a) (.f64 c c)) (fma.f64 -1/2 (.f64 (/.f64 a b_2) c) b_2))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 -1/2 (.f64 (/.f64 c b_2) a) b_2)))
(fma.f64 -1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (fma.f64 -1/8 (.f64 (.f64 (/.f64 a (pow.f64 b_2 3)) a) (.f64 c c)) (fma.f64 -1/2 (.f64 (/.f64 a b_2) c) b_2)))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)
(fma.f64 -1/2 (*.f64 (/.f64 a b_2) c) b_2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 -1/2 (.f64 (/.f64 c b_2) a) b_2))
(fma.f64 -1/8 (.f64 (.f64 (/.f64 a (pow.f64 b_2 3)) a) (.f64 c c)) (fma.f64 -1/2 (.f64 (/.f64 a b_2) c) b_2))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 -1/2 (.f64 (/.f64 c b_2) a) b_2)))
(fma.f64 -1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (fma.f64 -1/8 (.f64 (.f64 (/.f64 a (pow.f64 b_2 3)) a) (.f64 c c)) (fma.f64 -1/2 (.f64 (/.f64 a b_2) c) b_2)))

localize5.0ms (0%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 1/2 (/.f64 c b_2))
✓	0.0b	(+.f64 (/.f64 -2 (/.f64 a b_2)) (*.f64 1/2 (/.f64 c b_2)))
✓	0.4b	(/.f64 -2 (/.f64 a b_2))

Compiler

Compiled 35 to 16 computations (54.3% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(/.f64 -2 (/.f64 a b_2))
0.0ms	a	@	inf	(/.f64 -2 (/.f64 a b_2))
0.0ms	a	@	0	(+.f64 (/.f64 -2 (/.f64 a b_2)) (*.f64 1/2 (/.f64 c b_2)))
0.0ms	c	@	-inf	(+.f64 (/.f64 -2 (/.f64 a b_2)) (*.f64 1/2 (/.f64 c b_2)))
0.0ms	b_2	@	-inf	(+.f64 (/.f64 -2 (/.f64 a b_2)) (*.f64 1/2 (/.f64 c b_2)))

rewrite71.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

635×	`log-prod_binary64`
329×	`pow2_binary64`
327×	`fma-def_binary64`
229×	`pow1/3_binary64`
227×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	251	21
2	3592	21

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

Inputs
(/.f64 -2 (/.f64 a b_2))
(+.f64 (/.f64 -2 (/.f64 a b_2)) (*.f64 1/2 (/.f64 c b_2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (/.f64 b_2 a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (/.f64 b_2 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b_2 (/.f64 -2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))) (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (/.f64 (neg.f64 a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b_2 a) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 a) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (neg.f64 a)) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 a) 1) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 a) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 a) (sqrt.f64 b_2)) (sqrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (pow.f64 (/.f64 b_2 a) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -8 (pow.f64 (/.f64 b_2 a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a b_2) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 a b_2) -1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -8 (pow.f64 (/.f64 b_2 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 4 (pow.f64 (/.f64 b_2 a) 2)) (fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2)))) (/.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4) (fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))) 2) (cbrt.f64 (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> 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simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`fma-def_binary64`
6×	`*-commutative_binary64`
4×	`associate-/l*_binary64`
2×	`associate-*r/_binary64`
2×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	609
1	19	609
2	30	609
3	38	609
4	42	609
5	44	609

Stop Event

1×

saturated

Counts

166 → 109

Calls

Call 1

Inputs
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))

Outputs
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 -2 a) b_2)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 -2 a) b_2)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 -2 a) b_2)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 -2 a) b_2)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 -2 a) b_2)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 -2 a) b_2)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 -2 a) b_2)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 -2 a) b_2)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 -2 a) b_2)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 -2 a) b_2)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 -2 a) b_2)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 -2 a) b_2)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 -2 a) b_2)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 -2 a) b_2)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 -2 a) b_2)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 -2 a) b_2)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 -2 a) b_2)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 -2 a) b_2)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 -2 a) b_2)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 -2 a) b_2)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 -2 a) b_2)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 -2 a) b_2)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 -2 a) b_2)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 -2 a) b_2)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 -2 a) b_2)
(*.f64 b_2 (/.f64 -2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 -2 b_2) a))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 -2 b_2) a))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 -2 b_2) a))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 -2 b_2) a))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 -2 b_2) a))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 -2 b_2) a))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 -2 b_2) a))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 -2 b_2) a))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 -2 b_2) a))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 -2 b_2) a))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 -2 b_2) a))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 -2 b_2) a))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 -2 a) b_2)
(*.f64 b_2 (/.f64 -2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 -2 b_2) a))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 -2 b_2) a))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 -2 b_2) a))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 -2 a) b_2)
(*.f64 b_2 (/.f64 -2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 -2 b_2) a))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 -2 b_2) a))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 -2 b_2) a))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 -2 a) b_2)
(*.f64 b_2 (/.f64 -2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 -2 b_2) a))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 -2 b_2) a))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 -2 b_2) a))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 -2 b_2) a))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 -2 b_2) a))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 -2 b_2) a))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 -2 b_2) a))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 -2 b_2) a))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 -2 b_2) a))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 -2 (/.f64 b_2 a))
✓	0.0b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 c b_2))) 3))
✓	0.6b	(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b_2))) 3)
✓	12.8b	(cbrt.f64 (*.f64 1/2 (/.f64 c b_2)))

Compiler

Compiled 53 to 28 computations (47.2% saved)

series17.0ms (0.1%)

Counts

3 → 20

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	(+.f64 (.f64 -2 (/.f64 b_2 a)) (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 c b_2))) 3))
2.0ms	a	@	0	(+.f64 (.f64 -2 (/.f64 b_2 a)) (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 c b_2))) 3))
1.0ms	c	@	-inf	(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b_2))) 3)
1.0ms	c	@	0	(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b_2))) 3)
1.0ms	b_2	@	-inf	(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b_2))) 3)

rewrite76.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

704×	`log-prod_binary64`
377×	`fma-def_binary64`
366×	`pow2_binary64`
253×	`expm1-udef_binary64`
253×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	316	30
2	3940	30

Stop Event

1×	node limit

Counts

3 → 148

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 1/2 (/.f64 c b_2)))
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b_2))) 3)
(+.f64 (.f64 -2 (/.f64 b_2 a)) (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 c b_2))) 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 c b_2)) (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 1/2 c) b_2) 1/6) (pow.f64 (/.f64 (*.f64 1/2 c) b_2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 1/2 c)) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 1/2 c) b_2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 1/2 c) b_2) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 1/2 c) b_2)) 1/3))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 1/2 c) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b_2)))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b_2))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 1/2 c) b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 c b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 (/.f64 1 b_2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c b_2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 c) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 1/2 c) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)) 2) (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 c b_2)) 2) (*.f64 (cbrt.f64 (/.f64 c b_2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (/.f64 c b_2)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 c b_2)) (*.f64 (sqrt.f64 (/.f64 c b_2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 1/2 c) b_2)) (sqrt.f64 (/.f64 (*.f64 1/2 c) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 1/2 c) b_2) 1/6) (*.f64 (pow.f64 (/.f64 (*.f64 1/2 c) b_2) 1/6) (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 c) (/.f64 1 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 1/2) 3) (/.f64 c b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cbrt.f64 (*.f64 b_2 b_2))) (/.f64 c (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sqrt.f64 b_2)) (/.f64 c (sqrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (/.f64 c b_2)) 2)) (cbrt.f64 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c b_2))) (sqrt.f64 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)) 2) 1) (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)) 2) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)) 2))) (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)) 2) (pow.f64 (/.f64 (*.f64 1/2 c) b_2) 1/6)) (pow.f64 (/.f64 (*.f64 1/2 c) b_2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 b_2 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b_2 (*.f64 1/2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 c) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 c)) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) 1) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) (cbrt.f64 (*.f64 b_2 b_2))) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) (sqrt.f64 b_2)) (sqrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) 1/2) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (neg.f64 c)) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 1/2 c) b_2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 1/2 c) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 1/2 c) b_2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 1/2 c) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 1/2 c) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 1/2 c) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 1/2 c) b_2)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -2 (/.f64 b_2 a) (/.f64 (*.f64 1/2 c) b_2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 2) (fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2)))) (/.f64 (pow.f64 (/.f64 (*.f64 1/2 c) b_2) 2) (fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -2 (/.f64 b_2 a) (/.f64 (*.f64 1/2 c) b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -2 (/.f64 b_2 a) (/.f64 (*.f64 1/2 c) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -2 (/.f64 b_2 a) (/.f64 (*.f64 1/2 c) b_2))) (pow.f64 (cbrt.f64 (fma.f64 -2 (/.f64 b_2 a) (/.f64 (*.f64 1/2 c) b_2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (/.f64 b_2 a) (/.f64 (*.f64 1/2 c) b_2))) 2) (cbrt.f64 (fma.f64 -2 (/.f64 b_2 a) (/.f64 (*.f64 1/2 c) b_2))))))) (#(struct:change #<rule egg-rr> 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fma.f64 (pow.f64 (cbrt.f64 (/.f64 c b_2)) 2) (*.f64 (cbrt.f64 (/.f64 c b_2)) 1/2) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (/.f64 c b_2)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)) 2)) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (*.f64 (cbrt.f64 (/.f64 b_2 a)) -2) (/.f64 (*.f64 1/2 c) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) (cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 2)) (/.f64 (*.f64 1/2 c) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 2)) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) (/.f64 (*.f64 1/2 c) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)) 2)) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 c b_2)) (*.f64 (sqrt.f64 (/.f64 c b_2)) 1/2) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 b_2 a)) (*.f64 (sqrt.f64 (/.f64 b_2 a)) -2) (/.f64 (*.f64 1/2 c) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (*.f64 1/2 c) b_2)) (sqrt.f64 (/.f64 (*.f64 1/2 c) b_2)) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))) (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))) (/.f64 (*.f64 1/2 c) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 (*.f64 1/2 c) b_2) 1/6) (*.f64 (pow.f64 (/.f64 (*.f64 1/2 c) b_2) 1/6) (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)) 2)) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b_2 -2) (/.f64 1 a) (/.f64 (*.f64 1/2 c) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 c) (/.f64 1 b_2) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 1/2) 3) (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (cbrt.f64 (*.f64 b_2 b_2))) (/.f64 c (cbrt.f64 b_2)) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (sqrt.f64 b_2)) (/.f64 c (sqrt.f64 b_2)) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b_2 (cbrt.f64 a)) (/.f64 (*.f64 1/2 c) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 (sqrt.f64 a)) (/.f64 b_2 (sqrt.f64 a)) (/.f64 (*.f64 1/2 c) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (/.f64 c b_2)) 2)) (cbrt.f64 (/.f64 c b_2)) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c b_2))) (sqrt.f64 (/.f64 c b_2)) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)) 2) 1) (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)) 2) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 c b_2)) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)) 2))) (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2))) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 c) b_2)) 2) (pow.f64 (/.f64 (*.f64 1/2 c) b_2) 1/6)) (pow.f64 (/.f64 (*.f64 1/2 c) b_2) 1/6) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (cbrt.f64 (/.f64 b_2 a)) (/.f64 (*.f64 1/2 c) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (/.f64 b_2 a)) (/.f64 (*.f64 1/2 c) b_2))))))

simplify3.5s (19.4%)

Algorithm

1×	egg-herbie

Rules

1959×	`sqr-pow_binary64`
1958×	`pow-base-1_binary64`
17×	`associate-/l*_binary64`
16×	`associate-/l/_binary64`
15×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	236
1	37	203
2	64	203
3	86	203
4	110	203
5	148	203
6	183	203
7	194	203
8	198	203
9	202	203
10	206	203
11	210	203
12	214	203
13	218	203
14	222	203
15	226	203
16	230	203
17	234	203
18	238	203
19	242	203
20	246	203
21	250	203
22	254	203
23	258	203
24	262	203
25	266	203
26	270	203
27	274	203
28	278	203
29	282	203
30	286	203
31	290	203
32	294	203
33	298	203
34	302	203
35	306	203
36	310	203
37	314	203
38	318	203
39	322	203
40	326	203
41	330	203
42	334	203
43	338	203
44	342	203
45	346	203
46	350	203
47	354	203
48	358	203
49	362	203
50	366	203
51	370	203
52	374	203
53	378	203
54	382	203
55	386	203
56	390	203
57	394	203
58	398	203
59	402	203
60	406	203
61	410	203
62	414	203
63	418	203
64	422	203
65	426	203
66	430	203
67	434	203
68	438	203
69	442	203
70	446	203
71	450	203
72	454	203
73	458	203
74	462	203
75	466	203
76	470	203
77	474	203
78	478	203
79	482	203
80	486	203
81	490	203
82	494	203
83	498	203
84	502	203
85	506	203
86	510	203
87	514	203
88	518	203
89	522	203
90	526	203
91	530	203
92	534	203
93	538	203
94	542	203
95	546	203
96	550	203
97	554	203
98	558	203
99	562	203
100	566	203
101	570	203
102	574	203
103	578	203
104	582	203
105	586	203
106	590	203
107	594	203
108	598	203
109	602	203
110	606	203
111	610	203
112	614	203
113	618	203
114	622	203
115	626	203
116	630	203
117	634	203
118	638	203
119	642	203
120	646	203
121	650	203
122	654	203
123	658	203
124	662	203
125	666	203
126	670	203
127	674	203
128	678	203
129	682	203
130	686	203
131	690	203
132	694	203
133	698	203
134	702	203
135	706	203
136	710	203
137	714	203
138	718	203
139	722	203
140	726	203
141	730	203
142	734	203
143	738	203
144	742	203
145	746	203
146	750	203
147	754	203
148	758	203
149	762	203
150	766	203
151	770	203
152	774	203
153	778	203
154	782	203
155	786	203
156	790	203
157	794	203
158	798	203
159	802	203
160	806	203
161	810	203
162	814	203
163	818	203
164	822	203
165	826	203
166	830	203
167	834	203
168	838	203
169	842	203
170	846	203
171	850	203
172	854	203
173	858	203
174	862	203
175	866	203
176	870	203
177	874	203
178	878	203
179	882	203
180	886	203
181	890	203
182	894	203
183	898	203
184	902	203
185	906	203
186	910	203
187	914	203
188	918	203
189	922	203
190	926	203
191	930	203
192	934	203
193	938	203
194	942	203
195	946	203
196	950	203
197	954	203
198	958	203
199	962	203
200	966	203
201	970	203
202	974	203
203	978	203
204	982	203
205	986	203
206	990	203
207	994	203
208	998	203
209	1002	203
210	1006	203
211	1010	203
212	1014	203
213	1018	203
214	1022	203
215	1026	203
216	1030	203
217	1034	203
218	1038	203
219	1042	203
220	1046	203
221	1050	203
222	1054	203
223	1058	203
224	1062	203
225	1066	203
226	1070	203
227	1074	203
228	1078	203
229	1082	203
230	1086	203
231	1090	203
232	1094	203
233	1098	203
234	1102	203
235	1106	203
236	1110	203
237	1114	203
238	1118	203
239	1122	203
240	1126	203
241	1130	203
242	1134	203
243	1138	203
244	1142	203
245	1146	203
246	1150	203
247	1154	203
248	1158	203
249	1162	203
250	1166	203
251	1170	203
252	1174	203
253	1178	203
254	1182	203
255	1186	203
256	1190	203
257	1194	203
258	1198	203
259	1202	203
260	1206	203
261	1210	203
262	1214	203
263	1218	203
264	1222	203
265	1226	203
266	1230	203
267	1234	203
268	1238	203
269	1242	203
270	1246	203
271	1250	203
272	1254	203
273	1258	203
274	1262	203
275	1266	203
276	1270	203
277	1274	203
278	1278	203
279	1282	203
280	1286	203
281	1290	203
282	1294	203
283	1298	203
284	1302	203
285	1306	203
286	1310	203
287	1314	203
288	1318	203
289	1322	203
290	1326	203
291	1330	203
292	1334	203
293	1338	203
294	1342	203
295	1346	203
296	1350	203
297	1354	203
298	1358	203
299	1362	203
300	1366	203
301	1370	203
302	1374	203
303	1378	203
304	1382	203
305	1386	203
306	1390	203
307	1394	203
308	1398	203
309	1402	203
310	1406	203
311	1410	203
312	1414	203
313	1418	203
314	1422	203
315	1426	203
316	1430	203
317	1434	203
318	1438	203
319	1442	203
320	1446	203
321	1450	203
322	1454	203
323	1458	203
324	1462	203
325	1466	203
326	1470	203
327	1474	203
328	1478	203
329	1482	203
330	1486	203
331	1490	203
332	1494	203
333	1498	203
334	1502	203
335	1506	203
336	1510	203
337	1514	203
338	1518	203
339	1522	203
340	1526	203
341	1530	203
342	1534	203
343	1538	203
344	1542	203
345	1546	203
346	1550	203
347	1554	203
348	1558	203
349	1562	203
350	1566	203
351	1570	203
352	1574	203
353	1578	203
354	1582	203
355	1586	203
356	1590	203
357	1594	203
358	1598	203
359	1602	203
360	1606	203
361	1610	203
362	1614	203
363	1618	203
364	1622	203
365	1626	203
366	1630	203
367	1634	203
368	1638	203
369	1642	203
370	1646	203
371	1650	203
372	1654	203
373	1658	203
374	1662	203
375	1666	203
376	1670	203
377	1674	203
378	1678	203
379	1682	203
380	1686	203
381	1690	203
382	1694	203
383	1698	203
384	1702	203
385	1706	203
386	1710	203
387	1714	203
388	1718	203
389	1722	203
390	1726	203
391	1730	203
392	1734	203
393	1738	203
394	1742	203
395	1746	203
396	1750	203
397	1754	203
398	1758	203
399	1762	203
400	1766	203
401	1770	203
402	1774	203
403	1778	203
404	1782	203
405	1786	203
406	1790	203
407	1794	203
408	1798	203
409	1802	203
410	1806	203
411	1810	203
412	1814	203
413	1818	203
414	1822	203
415	1826	203
416	1830	203
417	1834	203
418	1838	203
419	1842	203
420	1846	203
421	1850	203
422	1854	203
423	1858	203
424	1862	203
425	1866	203
426	1870	203
427	1874	203
428	1878	203
429	1882	203
430	1886	203
431	1890	203
432	1894	203
433	1898	203
434	1902	203
435	1906	203
436	1910	203
437	1914	203
438	1918	203
439	1922	203
440	1926	203
441	1930	203
442	1934	203
443	1938	203
444	1942	203
445	1946	203
446	1950	203
447	1954	203
448	1958	203
449	1962	203
450	1966	203
451	1970	203
452	1974	203
453	1978	203
454	1982	203
455	1986	203
456	1990	203
457	1994	203
458	1998	203
459	2002	203
460	2006	203
461	2010	203
462	2014	203
463	2018	203
464	2022	203
465	2026	203
466	2030	203
467	2034	203
468	2038	203
469	2042	203
470	2046	203
471	2050	203
472	2054	203
473	2058	203
474	2062	203
475	2066	203
476	2070	203
477	2074	203
478	2078	203
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1433	5898	203
1434	5902	203
1435	5906	203
1436	5910	203
1437	5914	203
1438	5918	203
1439	5922	203
1440	5926	203
1441	5930	203
1442	5934	203
1443	5938	203
1444	5942	203
1445	5946	203
1446	5950	203
1447	5954	203
1448	5958	203
1449	5962	203
1450	5966	203
1451	5970	203
1452	5974	203
1453	5978	203
1454	5982	203
1455	5986	203
1456	5990	203
1457	5994	203
1458	5998	203
1459	6002	203
1460	6006	203
1461	6010	203
1462	6014	203
1463	6018	203
1464	6022	203
1465	6026	203
1466	6030	203
1467	6034	203
1468	6038	203
1469	6042	203
1470	6046	203
1471	6050	203
1472	6054	203
1473	6058	203
1474	6062	203
1475	6066	203
1476	6070	203
1477	6074	203
1478	6078	203
1479	6082	203
1480	6086	203
1481	6090	203
1482	6094	203
1483	6098	203
1484	6102	203
1485	6106	203
1486	6110	203
1487	6114	203
1488	6118	203
1489	6122	203
1490	6126	203
1491	6130	203
1492	6134	203
1493	6138	203
1494	6142	203
1495	6146	203
1496	6150	203
1497	6154	203
1498	6158	203
1499	6162	203
1500	6166	203
1501	6170	203
1502	6174	203
1503	6178	203
1504	6182	203
1505	6186	203
1506	6190	203
1507	6194	203
1508	6198	203
1509	6202	203
1510	6206	203
1511	6210	203
1512	6214	203
1513	6218	203
1514	6222	203
1515	6226	203
1516	6230	203
1517	6234	203
1518	6238	203
1519	6242	203
1520	6246	203
1521	6250	203
1522	6254	203
1523	6258	203
1524	6262	203
1525	6266	203
1526	6270	203
1527	6274	203
1528	6278	203
1529	6282	203
1530	6286	203
1531	6290	203
1532	6294	203
1533	6298	203
1534	6302	203
1535	6306	203
1536	6310	203
1537	6314	203
1538	6318	203
1539	6322	203
1540	6326	203
1541	6330	203
1542	6334	203
1543	6338	203
1544	6342	203
1545	6346	203
1546	6350	203
1547	6354	203
1548	6358	203
1549	6362	203
1550	6366	203
1551	6370	203
1552	6374	203
1553	6378	203
1554	6382	203
1555	6386	203
1556	6390	203
1557	6394	203
1558	6398	203
1559	6402	203
1560	6406	203
1561	6410	203
1562	6414	203
1563	6418	203
1564	6422	203
1565	6426	203
1566	6430	203
1567	6434	203
1568	6438	203
1569	6442	203
1570	6446	203
1571	6450	203
1572	6454	203
1573	6458	203
1574	6462	203
1575	6466	203
1576	6470	203
1577	6474	203
1578	6478	203
1579	6482	203
1580	6486	203
1581	6490	203
1582	6494	203
1583	6498	203
1584	6502	203
1585	6506	203
1586	6510	203
1587	6514	203
1588	6518	203
1589	6522	203
1590	6526	203
1591	6530	203
1592	6534	203
1593	6538	203
1594	6542	203
1595	6546	203
1596	6550	203
1597	6554	203
1598	6558	203
1599	6562	203
1600	6566	203
1601	6570	203
1602	6574	203
1603	6578	203
1604	6582	203
1605	6586	203
1606	6590	203
1607	6594	203
1608	6598	203
1609	6602	203
1610	6606	203
1611	6610	203
1612	6614	203
1613	6618	203
1614	6622	203
1615	6626	203
1616	6630	203
1617	6634	203
1618	6638	203
1619	6642	203
1620	6646	203
1621	6650	203
1622	6654	203
1623	6658	203
1624	6662	203
1625	6666	203
1626	6670	203
1627	6674	203
1628	6678	203
1629	6682	203
1630	6686	203
1631	6690	203
1632	6694	203
1633	6698	203
1634	6702	203
1635	6706	203
1636	6710	203
1637	6714	203
1638	6718	203
1639	6722	203
1640	6726	203
1641	6730	203
1642	6734	203
1643	6738	203
1644	6742	203
1645	6746	203
1646	6750	203
1647	6754	203
1648	6758	203
1649	6762	203
1650	6766	203
1651	6770	203
1652	6774	203
1653	6778	203
1654	6782	203
1655	6786	203
1656	6790	203
1657	6794	203
1658	6798	203
1659	6802	203
1660	6806	203
1661	6810	203
1662	6814	203
1663	6818	203
1664	6822	203
1665	6826	203
1666	6830	203
1667	6834	203
1668	6838	203
1669	6842	203
1670	6846	203
1671	6850	203
1672	6854	203
1673	6858	203
1674	6862	203
1675	6866	203
1676	6870	203
1677	6874	203
1678	6878	203
1679	6882	203
1680	6886	203
1681	6890	203
1682	6894	203
1683	6898	203
1684	6902	203
1685	6906	203
1686	6910	203
1687	6914	203
1688	6918	203
1689	6922	203
1690	6926	203
1691	6930	203
1692	6934	203
1693	6938	203
1694	6942	203
1695	6946	203
1696	6950	203
1697	6954	203
1698	6958	203
1699	6962	203
1700	6966	203
1701	6970	203
1702	6974	203
1703	6978	203
1704	6982	203
1705	6986	203
1706	6990	203
1707	6994	203
1708	6998	203
1709	7002	203
1710	7006	203
1711	7010	203
1712	7014	203
1713	7018	203
1714	7022	203
1715	7026	203
1716	7030	203
1717	7034	203
1718	7038	203
1719	7042	203
1720	7046	203
1721	7050	203
1722	7054	203
1723	7058	203
1724	7062	203
1725	7066	203
1726	7070	203
1727	7074	203
1728	7078	203
1729	7082	203
1730	7086	203
1731	7090	203
1732	7094	203
1733	7098	203
1734	7102	203
1735	7106	203
1736	7110	203
1737	7114	203
1738	7118	203
1739	7122	203
1740	7126	203
1741	7130	203
1742	7134	203
1743	7138	203
1744	7142	203
1745	7146	203
1746	7150	203
1747	7154	203
1748	7158	203
1749	7162	203
1750	7166	203
1751	7170	203
1752	7174	203
1753	7178	203
1754	7182	203
1755	7186	203
1756	7190	203
1757	7194	203
1758	7198	203
1759	7202	203
1760	7206	203
1761	7210	203
1762	7214	203
1763	7218	203
1764	7222	203
1765	7226	203
1766	7230	203
1767	7234	203
1768	7238	203
1769	7242	203
1770	7246	203
1771	7250	203
1772	7254	203
1773	7258	203
1774	7262	203
1775	7266	203
1776	7270	203
1777	7274	203
1778	7278	203
1779	7282	203
1780	7286	203
1781	7290	203
1782	7294	203
1783	7298	203
1784	7302	203
1785	7306	203
1786	7310	203
1787	7314	203
1788	7318	203
1789	7322	203
1790	7326	203
1791	7330	203
1792	7334	203
1793	7338	203
1794	7342	203
1795	7346	203
1796	7350	203
1797	7354	203
1798	7358	203
1799	7362	203
1800	7366	203
1801	7370	203
1802	7374	203
1803	7378	203
1804	7382	203
1805	7386	203
1806	7390	203
1807	7394	203
1808	7398	203
1809	7402	203
1810	7406	203
1811	7410	203
1812	7414	203
1813	7418	203
1814	7422	203
1815	7426	203
1816	7430	203
1817	7434	203
1818	7438	203
1819	7442	203
1820	7446	203
1821	7450	203
1822	7454	203
1823	7458	203
1824	7462	203
1825	7466	203
1826	7470	203
1827	7474	203
1828	7478	203
1829	7482	203
1830	7486	203
1831	7490	203
1832	7494	203
1833	7498	203
1834	7502	203
1835	7506	203
1836	7510	203
1837	7514	203
1838	7518	203
1839	7522	203
1840	7526	203
1841	7530	203
1842	7534	203
1843	7538	203
1844	7542	203
1845	7546	203
1846	7550	203
1847	7554	203
1848	7558	203
1849	7562	203
1850	7566	203
1851	7570	203
1852	7574	203
1853	7578	203
1854	7582	203
1855	7586	203
1856	7590	203
1857	7594	203
1858	7598	203
1859	7602	203
1860	7606	203
1861	7610	203
1862	7614	203
1863	7618	203
1864	7622	203
1865	7626	203
1866	7630	203
1867	7634	203
1868	7638	203
1869	7642	203
1870	7646	203
1871	7650	203
1872	7654	203
1873	7658	203
1874	7662	203
1875	7666	203
1876	7670	203
1877	7674	203
1878	7678	203
1879	7682	203
1880	7686	203
1881	7690	203
1882	7694	203
1883	7698	203
1884	7702	203
1885	7706	203
1886	7710	203
1887	7714	203
1888	7718	203
1889	7722	203
1890	7726	203
1891	7730	203
1892	7734	203
1893	7738	203
1894	7742	203
1895	7746	203
1896	7750	203
1897	7754	203
1898	7758	203
1899	7762	203
1900	7766	203
1901	7770	203
1902	7774	203
1903	7778	203
1904	7782	203
1905	7786	203
1906	7790	203
1907	7794	203
1908	7798	203
1909	7802	203
1910	7806	203
1911	7810	203
1912	7814	203
1913	7818	203
1914	7822	203
1915	7826	203
1916	7830	203
1917	7834	203
1918	7838	203
1919	7842	203
1920	7846	203
1921	7850	203
1922	7854	203
1923	7858	203
1924	7862	203
1925	7866	203
1926	7870	203
1927	7874	203
1928	7878	203
1929	7882	203
1930	7886	203
1931	7890	203
1932	7894	203
1933	7898	203
1934	7902	203
1935	7906	203
1936	7910	203
1937	7914	203
1938	7918	203
1939	7922	203
1940	7926	203
1941	7930	203
1942	7934	203
1943	7938	203
1944	7942	203
1945	7946	203
1946	7950	203
1947	7954	203
1948	7958	203
1949	7962	203
1950	7966	203
1951	7970	203
1952	7974	203
1953	7978	203
1954	7982	203
1955	7986	203
1956	7990	203
1957	7994	203
1958	7998	203

Stop Event

1×	node limit

Counts

168 → 154

Calls

Call 1

Inputs
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 1/2 (.f64 (/.f64 c b_2) (pow.f64 1 1/3))) (*.f64 -2 (/.f64 b_2 a)))
(+.f64 (.f64 1/2 (.f64 (/.f64 c b_2) (pow.f64 1 1/3))) (*.f64 -2 (/.f64 b_2 a)))
(+.f64 (.f64 1/2 (.f64 (/.f64 c b_2) (pow.f64 1 1/3))) (*.f64 -2 (/.f64 b_2 a)))
(.f64 1/2 (.f64 (/.f64 c b_2) (pow.f64 1 1/3)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (*.f64 (/.f64 c b_2) (pow.f64 1 1/3))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (*.f64 (/.f64 c b_2) (pow.f64 1 1/3))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (*.f64 (/.f64 c b_2) (pow.f64 1 1/3))))
(.f64 1/2 (.f64 (/.f64 c b_2) (pow.f64 1 1/3)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (*.f64 (/.f64 c b_2) (pow.f64 1 1/3))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (*.f64 (/.f64 c b_2) (pow.f64 1 1/3))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (*.f64 (/.f64 c b_2) (pow.f64 1 1/3))))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))

Outputs
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(*.f64 b_2 (/.f64 -2 a))
(+.f64 (.f64 1/2 (.f64 (/.f64 c b_2) (pow.f64 1 1/3))) (*.f64 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (.f64 (/.f64 c b_2) 1) (/.f64 (.f64 -2 b_2) a))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 b_2 (/.f64 -2 a) (/.f64 1/2 (/.f64 b_2 c)))
(+.f64 (.f64 1/2 (.f64 (/.f64 c b_2) (pow.f64 1 1/3))) (*.f64 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (.f64 (/.f64 c b_2) 1) (/.f64 (.f64 -2 b_2) a))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 b_2 (/.f64 -2 a) (/.f64 1/2 (/.f64 b_2 c)))
(+.f64 (.f64 1/2 (.f64 (/.f64 c b_2) (pow.f64 1 1/3))) (*.f64 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (.f64 (/.f64 c b_2) 1) (/.f64 (.f64 -2 b_2) a))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 b_2 (/.f64 -2 a) (/.f64 1/2 (/.f64 b_2 c)))
(.f64 1/2 (.f64 (/.f64 c b_2) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 (/.f64 c b_2) 1))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 1/2 (/.f64 b_2 c))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (*.f64 (/.f64 c b_2) (pow.f64 1 1/3))))
(fma.f64 1/2 (.f64 (/.f64 c b_2) 1) (/.f64 (.f64 -2 b_2) a))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 b_2 (/.f64 -2 a) (/.f64 1/2 (/.f64 b_2 c)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (*.f64 (/.f64 c b_2) (pow.f64 1 1/3))))
(fma.f64 1/2 (.f64 (/.f64 c b_2) 1) (/.f64 (.f64 -2 b_2) a))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 b_2 (/.f64 -2 a) (/.f64 1/2 (/.f64 b_2 c)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (*.f64 (/.f64 c b_2) (pow.f64 1 1/3))))
(fma.f64 1/2 (.f64 (/.f64 c b_2) 1) (/.f64 (.f64 -2 b_2) a))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 b_2 (/.f64 -2 a) (/.f64 1/2 (/.f64 b_2 c)))
(.f64 1/2 (.f64 (/.f64 c b_2) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 (/.f64 c b_2) 1))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 1/2 (/.f64 b_2 c))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (*.f64 (/.f64 c b_2) (pow.f64 1 1/3))))
(fma.f64 1/2 (.f64 (/.f64 c b_2) 1) (/.f64 (.f64 -2 b_2) a))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 b_2 (/.f64 -2 a) (/.f64 1/2 (/.f64 b_2 c)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (*.f64 (/.f64 c b_2) (pow.f64 1 1/3))))
(fma.f64 1/2 (.f64 (/.f64 c b_2) 1) (/.f64 (.f64 -2 b_2) a))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 b_2 (/.f64 -2 a) (/.f64 1/2 (/.f64 b_2 c)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (*.f64 (/.f64 c b_2) (pow.f64 1 1/3))))
(fma.f64 1/2 (.f64 (/.f64 c b_2) 1) (/.f64 (.f64 -2 b_2) a))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 b_2 (/.f64 -2 a) (/.f64 1/2 (/.f64 b_2 c)))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(*.f64 b_2 (/.f64 -2 a))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
	0.5b	(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
✓	3.8b	(cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))
	12.7b	(sqrt.f64 (*.f64 a (neg.f64 c)))

Compiler

Compiled 71 to 13 computations (81.7% saved)

series262.0ms (1.4%)

Counts

2 → 10

Calls

18 calls:

Time	Variable		Point	Expression
64.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
55.0ms	a	@	inf	(pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
26.0ms	a	@	inf	(cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))
23.0ms	a	@	0	(pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
21.0ms	a	@	-inf	(cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

667×	`prod-diff_binary64`
592×	`log-prod_binary64`
306×	`pow2_binary64`
225×	`fma-def_binary64`
212×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	289	32
2	3622	32

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (cbrt.f64 (pow.f64 a -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (/.f64 1 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a) 1/6) (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))) (cbrt.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))) (neg.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 a) (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (pow.f64 a -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) 2) (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) 2) (*.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (pow.f64 a -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a) 1/6) (*.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a) 1/6) (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (*.f64 (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (pow.f64 a -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) (sqrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) 1) (/.f64 (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a a)) -1) (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (cbrt.f64 (*.f64 a a))) (/.f64 (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 a) -1) (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) 2) 1) (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) 2))) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) 2) (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a) 1/6)) (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) 2) (/.f64 a (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (/.f64 a (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 a c)) 3/2)) (*.f64 a (-.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))) (neg.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 a c)) 3/2)) 1) (*.f64 (-.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 a c))) 1) (*.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 a c)) 3/2)) (pow.f64 a -1)) (-.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 a c))) (pow.f64 a -1)) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) 2) (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) 1))))))

simplify83.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

962×	`fma-def_binary64`
452×	`times-frac_binary64`
409×	`distribute-lft-in_binary64`
409×	`distribute-rgt-in_binary64`
275×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	2069
1	557	1801
2	2137	1716
3	6504	1716

Stop Event

1×	node limit

Counts

95 → 105

Calls

Call 1

Inputs
(.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (pow.f64 (sqrt.f64 -1) 1/3) (sqrt.f64 1)))
(+.f64 (.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (pow.f64 (sqrt.f64 -1) 1/3) (sqrt.f64 1))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/9) b_2)))
(+.f64 (.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (pow.f64 (sqrt.f64 -1) 1/3) (sqrt.f64 1))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/9) b_2)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 a) (.f64 c (pow.f64 (sqrt.f64 -1) 2))) 1/3) (.f64 (pow.f64 b_2 2) (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (pow.f64 1 1/3))))))))))
(+.f64 (.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (pow.f64 (sqrt.f64 -1) 1/3) (sqrt.f64 1))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/9) b_2)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 a) (.f64 c (pow.f64 (sqrt.f64 -1) 2))) 1/3) (.f64 (pow.f64 b_2 2) (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (pow.f64 1 1/3)))))))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 a) (.f64 c (pow.f64 (sqrt.f64 -1) 2))) 1/3) (.f64 (pow.f64 b_2 3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 13))) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (.f64 (pow.f64 1 1/6) (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (pow.f64 1 1/3))))))))) (.f64 1/27 (pow.f64 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/3)))))))))
(.f64 (pow.f64 (/.f64 (.f64 1 b_2) a) 1/3) (cbrt.f64 2))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 (pow.f64 1 1/6) (sqrt.f64 -1)))
(+.f64 (.f64 b_2 (+.f64 (.f64 1/3 (pow.f64 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) 1)) (pow.f64 a 11)) 1/9)) (.f64 2/3 (pow.f64 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) 1)) (pow.f64 a 11)) 1/9)))) (.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -1))))
(+.f64 (.f64 b_2 (+.f64 (.f64 1/3 (pow.f64 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) 1)) (pow.f64 a 11)) 1/9)) (.f64 2/3 (pow.f64 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) 1)) (pow.f64 a 11)) 1/9)))) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (pow.f64 1 1/3))))))) (+.f64 (.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (pow.f64 (sqrt.f64 -1) 1/3) (.f64 (sqrt.f64 1) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 a c) 1/6) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/3) (.f64 (sqrt.f64 1) (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (pow.f64 1 1/3))))))))) (.f64 1/9 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 16)))) 1/9)))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (pow.f64 1 1/3)))))) (pow.f64 b_2 2)) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (pow.f64 1 1/6) (sqrt.f64 -1)))))
(+.f64 (.f64 b_2 (+.f64 (.f64 1/3 (pow.f64 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) 1)) (pow.f64 a 11)) 1/9)) (.f64 2/3 (pow.f64 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) 1)) (pow.f64 a 11)) 1/9)))) (+.f64 (.f64 (pow.f64 b_2 3) (+.f64 (.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (pow.f64 (sqrt.f64 -1) 1/3) (.f64 (sqrt.f64 1) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 5)))) 1/9) (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (pow.f64 1 1/3))))))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 a c) 1/6) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/3) (.f64 (sqrt.f64 1) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 13))) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (.f64 (pow.f64 1 1/6) (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (pow.f64 1 1/3))))))))) (.f64 1/27 (pow.f64 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/3))))))))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 13))) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (pow.f64 1 1/3))))))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 13))) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (.f64 (pow.f64 1 1/6) (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (pow.f64 1 1/3))))))))) (.f64 1/27 (pow.f64 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/3))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/9) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 a c) 1/6) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/3) (.f64 (sqrt.f64 1) (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (pow.f64 1 1/3))))))))) (.f64 1/9 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 16)))) 1/9))))))))) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (pow.f64 1 1/3))))))) (+.f64 (.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (pow.f64 (sqrt.f64 -1) 1/3) (.f64 (sqrt.f64 1) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 a c) 1/6) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/3) (.f64 (sqrt.f64 1) (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (pow.f64 1 1/3))))))))) (.f64 1/9 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 16)))) 1/9)))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (pow.f64 1 1/3)))))) (pow.f64 b_2 2)) (.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -1))))))
(.f64 2 (.f64 (pow.f64 1 1/3) (/.f64 b_2 a)))

Outputs
(.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (pow.f64 (sqrt.f64 -1) 1/3) (sqrt.f64 1)))
(*.f64 (pow.f64 (/.f64 c a) 1/6) (cbrt.f64 (sqrt.f64 -1)))
(+.f64 (.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (pow.f64 (sqrt.f64 -1) 1/3) (sqrt.f64 1))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/9) b_2)))
(fma.f64 (pow.f64 (/.f64 c a) 1/6) (cbrt.f64 (sqrt.f64 -1)) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/18) (pow.f64 (/.f64 1 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/18)) b_2)))
(fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 -1 (.f64 (pow.f64 a 8) c))) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 -1 (.f64 (pow.f64 a 8) c))) 1/18) b_2)) (*.f64 (pow.f64 (/.f64 c a) 1/6) (cbrt.f64 (sqrt.f64 -1))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 a 8) c)) 1/18) (pow.f64 (/.f64 -1 (.f64 (pow.f64 a 8) c)) 1/18)) b_2) (*.f64 (pow.f64 (/.f64 c a) 1/6) (cbrt.f64 (sqrt.f64 -1))))
(+.f64 (.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (pow.f64 (sqrt.f64 -1) 1/3) (sqrt.f64 1))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/9) b_2)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 a) (.f64 c (pow.f64 (sqrt.f64 -1) 2))) 1/3) (.f64 (pow.f64 b_2 2) (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (pow.f64 1 1/3))))))))))
(fma.f64 (pow.f64 (/.f64 c a) 1/6) (cbrt.f64 (sqrt.f64 -1)) (.f64 1/3 (+.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/18) (pow.f64 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/18)) b_2) (.f64 (cbrt.f64 (/.f64 (/.f64 a c) (pow.f64 (sqrt.f64 -1) 2))) (.f64 (.f64 b_2 b_2) (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 1 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)))))))))))
(fma.f64 (pow.f64 (/.f64 c a) 1/6) (cbrt.f64 (sqrt.f64 -1)) (.f64 1/3 (fma.f64 (.f64 (pow.f64 (/.f64 1 (.f64 -1 (.f64 (pow.f64 a 8) c))) 1/18) (pow.f64 (/.f64 1 (.f64 -1 (.f64 (pow.f64 a 8) c))) 1/18)) b_2 (.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (sqrt.f64 -1)) (.f64 (.f64 -1/3 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18)) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)))) (.f64 (cbrt.f64 (.f64 -1 (/.f64 a c))) (*.f64 b_2 b_2))))))
(fma.f64 (pow.f64 (/.f64 c a) 1/6) (cbrt.f64 (sqrt.f64 -1)) (.f64 1/3 (fma.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (sqrt.f64 -1)) (.f64 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (.f64 (pow.f64 (/.f64 (/.f64 1 c) (pow.f64 a 35)) 1/18) -1/3))) (.f64 (cbrt.f64 (neg.f64 (/.f64 a c))) (.f64 b_2 b_2)) (.f64 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 a 8) c)) 1/18) (pow.f64 (/.f64 -1 (.f64 (pow.f64 a 8) c)) 1/18)) b_2))))
(fma.f64 (pow.f64 (/.f64 c a) 1/6) (cbrt.f64 (sqrt.f64 -1)) (.f64 1/3 (fma.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (sqrt.f64 -1)) (.f64 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (.f64 (pow.f64 (/.f64 (/.f64 1 c) (pow.f64 a 35)) 1/18) -1/3))) (.f64 (cbrt.f64 (/.f64 (neg.f64 a) c)) (.f64 b_2 b_2)) (.f64 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 a 8) c)) 1/18) (pow.f64 (/.f64 -1 (.f64 (pow.f64 a 8) c)) 1/18)) b_2))))
(+.f64 (.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (pow.f64 (sqrt.f64 -1) 1/3) (sqrt.f64 1))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/9) b_2)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 a) (.f64 c (pow.f64 (sqrt.f64 -1) 2))) 1/3) (.f64 (pow.f64 b_2 2) (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (pow.f64 1 1/3)))))))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 a) (.f64 c (pow.f64 (sqrt.f64 -1) 2))) 1/3) (.f64 (pow.f64 b_2 3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 13))) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (.f64 (pow.f64 1 1/6) (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (pow.f64 1 1/3))))))))) (.f64 1/27 (pow.f64 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/3)))))))))
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(fma.f64 b_2 (.f64 (pow.f64 (/.f64 1 (/.f64 (pow.f64 a 11) (.f64 c c))) 1/18) (pow.f64 (/.f64 1 (/.f64 (pow.f64 a 11) (.f64 c c))) 1/18)) (fma.f64 (pow.f64 b_2 3) (fma.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (cbrt.f64 (sqrt.f64 -1)) (fma.f64 2/9 (.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (sqrt.f64 -1)) (.f64 (.f64 -1/3 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18)) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)))) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 c 4)) (.f64 1 (pow.f64 a 5))) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 c 4)) (.f64 1 (pow.f64 a 5))) 1/18))) (.f64 (.f64 (fma.f64 2/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18)) (.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (sqrt.f64 -1)) (.f64 (.f64 -1/3 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18)) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)))) (pow.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 13)) 1/18))) (.f64 1/27 (cbrt.f64 (/.f64 1 (.f64 -1 (.f64 (pow.f64 a 8) c)))))) (cbrt.f64 (/.f64 1 (sqrt.f64 -1)))) (.f64 (pow.f64 (/.f64 a c) 1/6) -2/3)))) (fma.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18)) (.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (sqrt.f64 -1)) (.f64 (.f64 -1/3 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18)) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)))) (pow.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 13)) 1/18))) 2/9 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 -1 (.f64 (pow.f64 a 8) c))) 1/18) (pow.f64 (/.f64 1 (.f64 -1 (.f64 (pow.f64 a 8) c))) 1/18)) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 1 (.f64 (.f64 c c) (pow.f64 a 16)))) 1/18) (pow.f64 (/.f64 1 (.f64 1 (.f64 (.f64 c c) (pow.f64 a 16)))) 1/18)) (.f64 (.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (sqrt.f64 -1)) (.f64 (.f64 -1/3 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18)) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)))) (cbrt.f64 (/.f64 1 (sqrt.f64 -1)))) (.f64 2/3 (pow.f64 (/.f64 a c) 1/6))))) (.f64 -1/3 (fma.f64 2/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18)) (.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (sqrt.f64 -1)) (.f64 (.f64 -1/3 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18)) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)))) (pow.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 13)) 1/18))) (.f64 1/27 (cbrt.f64 (/.f64 1 (.f64 -1 (.f64 (pow.f64 a 8) c)))))))))) (fma.f64 (.f64 b_2 b_2) (fma.f64 1/3 (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (sqrt.f64 -1)) (.f64 (.f64 -1/3 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18)) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)))) (fma.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (cbrt.f64 (sqrt.f64 -1)) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 1 (.f64 (.f64 c c) (pow.f64 a 16)))) 1/18) (pow.f64 (/.f64 1 (.f64 1 (.f64 (.f64 c c) (pow.f64 a 16)))) 1/18)) (.f64 (.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (sqrt.f64 -1)) (.f64 (.f64 -1/3 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18)) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)))) (cbrt.f64 (/.f64 1 (sqrt.f64 -1)))) (.f64 2/3 (pow.f64 (/.f64 a c) 1/6))))) (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) 2/9)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a))))))
(fma.f64 (pow.f64 b_2 3) (fma.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (cbrt.f64 (sqrt.f64 -1)) (fma.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (sqrt.f64 -1)) (.f64 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (.f64 (pow.f64 (/.f64 (/.f64 1 c) (pow.f64 a 35)) 1/18) -1/3))) (.f64 2/9 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 4)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 4)) 1/18))) (.f64 (.f64 (fma.f64 2/3 (.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (sqrt.f64 -1)) (.f64 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (.f64 (pow.f64 (/.f64 (/.f64 1 c) (pow.f64 a 35)) 1/18) -1/3))) (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 13)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18))) (.f64 1/27 (cbrt.f64 (/.f64 -1 (.f64 (pow.f64 a 8) c))))) (cbrt.f64 (/.f64 1 (sqrt.f64 -1)))) (.f64 (pow.f64 (/.f64 a c) 1/6) -2/3)))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 a 8) c)) 1/18) (pow.f64 (/.f64 -1 (.f64 (pow.f64 a 8) c)) 1/18)) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 c c) (pow.f64 a 16))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 c c) (pow.f64 a 16))) 1/18)) (.f64 (.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (sqrt.f64 -1)) (.f64 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (.f64 (pow.f64 (/.f64 (/.f64 1 c) (pow.f64 a 35)) 1/18) -1/3))) (cbrt.f64 (/.f64 1 (sqrt.f64 -1)))) (.f64 2/3 (pow.f64 (/.f64 a c) 1/6))))) (fma.f64 -1/3 (fma.f64 2/3 (.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (sqrt.f64 -1)) (.f64 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (.f64 (pow.f64 (/.f64 (/.f64 1 c) (pow.f64 a 35)) 1/18) -1/3))) (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 13)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18))) (.f64 1/27 (cbrt.f64 (/.f64 -1 (.f64 (pow.f64 a 8) c))))) (.f64 (.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 13)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18))) (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (sqrt.f64 -1)) (.f64 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (.f64 (pow.f64 (/.f64 (/.f64 1 c) (pow.f64 a 35)) 1/18) -1/3))))))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (.f64 b_2 (+.f64 (.f64 (pow.f64 (.f64 (/.f64 c (pow.f64 a 11)) c) 1/18) (pow.f64 (.f64 (/.f64 c (pow.f64 a 11)) c) 1/18)) (.f64 b_2 (fma.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (cbrt.f64 (sqrt.f64 -1)) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 c c) (pow.f64 a 16))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 c c) (pow.f64 a 16))) 1/18)) (.f64 (.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (sqrt.f64 -1)) (.f64 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (.f64 (pow.f64 (/.f64 (/.f64 1 c) (pow.f64 a 35)) 1/18) -1/3))) (cbrt.f64 (/.f64 1 (sqrt.f64 -1)))) (.f64 2/3 (pow.f64 (/.f64 a c) 1/6))))) (fma.f64 1/3 (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (sqrt.f64 -1)) (.f64 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (.f64 (pow.f64 (/.f64 (/.f64 1 c) (pow.f64 a 35)) 1/18) -1/3))) (.f64 (pow.f64 (/.f64 (/.f64 1 c) (pow.f64 a 35)) 1/18) (.f64 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) 2/9)))))))))
(.f64 2 (.f64 (pow.f64 1 1/3) (/.f64 b_2 a)))
(*.f64 2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 2 a))

eval823.0ms (4.5%)

Compiler: Compiled 23673 to 11509 computations (51.4% saved)

prune319.0ms (1.7%)

Pruning

40 alts after pruning (30 fresh and 10 done)

	Pruned	Kept	Total
New	947	13	960
Fresh	10	17	27
Picked	0	1	1
Done	2	9	11
Total	959	40	999

Error

0.5b

Counts

999 → 40

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.5b	(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
	46.2b	(*.f64 b_2 (/.f64 -2 a))
	46.0b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (.f64 c (neg.f64 a))) 1/2))) a)
	62.2b	(*.f64 b_2 (/.f64 2 a))
	54.1b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a))) 1/2))) a)
	48.1b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (.f64 -2 (log.f64 (/.f64 -1 b_2))) 1/2))) a)
	62.2b	(pow.f64 (*.f64 (cbrt.f64 (/.f64 b_2 a)) (cbrt.f64 2)) 3)
✓	30.9b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	53.1b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (-.f64 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))) (/.f64 b_2 (.f64 c (/.f64 a b_2)))) 1/2))) a)
✓	46.1b	(/.f64 (*.f64 b_2 -2) a)
	52.6b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))) 1/2))) a)
	38.5b	(/.f64 -1/2 (/.f64 b_2 c))
	46.1b	(+.f64 (.f64 (/.f64 -2 a) b_2) (.f64 1/2 (/.f64 c b_2)))
	46.0b	(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 -1/2 (/.f64 b_2 c)))) 1/3))
	52.6b	(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a)))) 2) b_2) a)
	44.8b	(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
	41.5b	(.f64 (.f64 (/.f64 (*.f64 c 1/2) b_2) a) (/.f64 1 (neg.f64 a)))
	55.5b	(/.f64 (+.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))) a)
✓	55.5b	(/.f64 0 a)
	54.1b	(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a))))) 2) b_2) a)
	39.6b	(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (.f64 (/.f64 -1/2 b_2) c))
✓	44.9b	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)) a)
	38.0b	(*.f64 (/.f64 -1/2 b_2) c)
	38.3b	(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
	40.9b	(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) a)
	46.5b	(/.f64 (/.f64 1 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
	47.0b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
✓	37.9b	(*.f64 -1/2 (/.f64 c b_2))
✓	46.0b	(.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
	62.2b	(/.f64 2 (/.f64 a b_2))
✓	46.2b	(pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
	62.2b	(*.f64 2 (/.f64 b_2 a))
	55.9b	(/.f64 1/2 (/.f64 b_2 c))
✓	59.4b	(/.f64 (neg.f64 b_2) a)
✓	46.1b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 c b_2))) 3))
	53.0b	(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) b_2) a)
	62.9b	(pow.f64 (.f64 (pow.f64 (/.f64 (.f64 1 b_2) a) 1/3) (cbrt.f64 2)) 3)
	53.0b	(+.f64 (/.f64 -2 (/.f64 a b_2)) (pow.f64 (*.f64 (pow.f64 (/.f64 c b_2) 3) 1/8) 1/3))
	51.0b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (.f64 b_2 b_2)) 1/2))) a)
	35.0b	(/.f64 (/.f64 (.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) a)

Compiler

Compiled 578 to 423 computations (26.8% saved)

regimes1.4s (7.7%)

Counts

69 → 4

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (neg.f64 b_2) a)
(*.f64 b_2 (/.f64 2 a))
(/.f64 1/2 (/.f64 b_2 c))
(*.f64 b_2 (/.f64 -2 a))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 1/2 (/.f64 b_2 c))
(/.f64 2 (/.f64 a b_2))
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 b_2 -2) a)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(*.f64 (/.f64 1 a) (+.f64 b_2 b_2))
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(+.f64 (.f64 (/.f64 -2 a) b_2) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (/.f64 -2 (/.f64 a b_2)) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(.f64 (.f64 (/.f64 (*.f64 c 1/2) b_2) a) (/.f64 1 (neg.f64 a)))
(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))) a)
(.f64 (-.f64 b_2 (-.f64 (.f64 (/.f64 1/2 (/.f64 b_2 c)) a) b_2)) (/.f64 1 (neg.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 -1/2 (/.f64 b_2 c)))) 1/3))
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (.f64 b_2 b_2)) 1/2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (.f64 c (neg.f64 a))) 1/2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)) a)
(.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (.f64 -2 (log.f64 (/.f64 -1 b_2))) 1/2))) a)
(+.f64 (.f64 -2 (/.f64 b_2 a)) (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 c b_2))) 3))
(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
(+.f64 (/.f64 -2 (/.f64 a b_2)) (pow.f64 (*.f64 (pow.f64 (/.f64 c b_2) 3) 1/8) 1/3))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (pow.f64 (.f64 (pow.f64 (/.f64 c b_2) 3) 1/8) 1/3))
(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2))) a)
(/.f64 (/.f64 (.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2))) a)
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (.f64 (/.f64 -1/2 b_2) c))
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)) a)
(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) a)
(/.f64 (/.f64 1 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
(pow.f64 (*.f64 (cbrt.f64 (/.f64 b_2 a)) (cbrt.f64 2)) 3)
(/.f64 (/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))
(pow.f64 (.f64 (pow.f64 (/.f64 (.f64 1 b_2) a) 1/3) (cbrt.f64 2)) 3)
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a))) 1/2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))) 1/2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3))) a)
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (-.f64 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))) (/.f64 b_2 (.f64 c (/.f64 a b_2)))) 1/2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))) a)
(pow.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a) 3) 1/3)
(.f64 (/.f64 1 a) (+.f64 b_2 (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)))))
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 3) a)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
(/.f64 (/.f64 (.f64 -1/2 c) (exp.f64 (.f64 (*.f64 (log.f64 (cbrt.f64 b_2)) 1) 2))) (cbrt.f64 b_2))
(pow.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3) 1/3)
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a)))) 2) b_2) a)
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a))))) 2) b_2) a)
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2) b_2) a)
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b_2) a)
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (fma.f64 -1/4 (*.f64 (/.f64 b_2 (/.f64 a b_2)) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) c)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a)))) 2)) a)

Outputs
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (/.f64 (.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) a)
(*.f64 -1/2 (/.f64 c b_2))

Calls

4 calls:

448.0ms	c
391.0ms	b_2
369.0ms	a
177.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Error	Segments	Branch
24.5b	8	`a`
7.9b	4	`b_2`
26.3b	5	`c`
8.8b	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 890 to 436 computations (51% saved)

bsearch333.0ms (1.8%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
197.0ms	3.462143956802437e-43	6.938971282036058e-42
68.0ms	1.1031882859952284e-205	4.444363808362934e-193
68.0ms	-7.655610442576385e+160	-2.6423717865213675e+148

Compiler

Compiled 915 to 615 computations (32.8% saved)

regimes749.0ms (4.1%)

Counts

42 → 5

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (neg.f64 b_2) a)
(*.f64 b_2 (/.f64 2 a))
(/.f64 1/2 (/.f64 b_2 c))
(*.f64 b_2 (/.f64 -2 a))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 1/2 (/.f64 b_2 c))
(/.f64 2 (/.f64 a b_2))
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 b_2 -2) a)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(*.f64 (/.f64 1 a) (+.f64 b_2 b_2))
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(+.f64 (.f64 (/.f64 -2 a) b_2) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (/.f64 -2 (/.f64 a b_2)) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(.f64 (.f64 (/.f64 (*.f64 c 1/2) b_2) a) (/.f64 1 (neg.f64 a)))
(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))) a)
(.f64 (-.f64 b_2 (-.f64 (.f64 (/.f64 1/2 (/.f64 b_2 c)) a) b_2)) (/.f64 1 (neg.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 -1/2 (/.f64 b_2 c)))) 1/3))
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (.f64 b_2 b_2)) 1/2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (.f64 c (neg.f64 a))) 1/2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)) a)
(.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (.f64 -2 (log.f64 (/.f64 -1 b_2))) 1/2))) a)
(+.f64 (.f64 -2 (/.f64 b_2 a)) (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 c b_2))) 3))
(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
(+.f64 (/.f64 -2 (/.f64 a b_2)) (pow.f64 (*.f64 (pow.f64 (/.f64 c b_2) 3) 1/8) 1/3))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (pow.f64 (.f64 (pow.f64 (/.f64 c b_2) 3) 1/8) 1/3))
(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2))) a)

Outputs
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(*.f64 -1/2 (/.f64 c b_2))

Calls

4 calls:

364.0ms	a
154.0ms	c
128.0ms	b_2
79.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Error	Segments	Branch
25.5b	7	`a`
8.9b	3	`b_2`
26.5b	5	`c`
8.8b	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 443 to 225 computations (49.2% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.757545626800176e+307	+inf
0.0ms	-0.0	9.975338400828401e-268
0.0ms	-1.8570805645394794e-280	0.0
0.0ms	-inf	-2.534957643394423e+304

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes405.0ms (2.2%)

Counts

28 → 3

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (neg.f64 b_2) a)
(*.f64 b_2 (/.f64 2 a))
(/.f64 1/2 (/.f64 b_2 c))
(*.f64 b_2 (/.f64 -2 a))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 1/2 (/.f64 b_2 c))
(/.f64 2 (/.f64 a b_2))
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 b_2 -2) a)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(*.f64 (/.f64 1 a) (+.f64 b_2 b_2))
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(+.f64 (.f64 (/.f64 -2 a) b_2) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (/.f64 -2 (/.f64 a b_2)) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(.f64 (.f64 (/.f64 (*.f64 c 1/2) b_2) a) (/.f64 1 (neg.f64 a)))
(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))) a)
(.f64 (-.f64 b_2 (-.f64 (.f64 (/.f64 1/2 (/.f64 b_2 c)) a) b_2)) (/.f64 1 (neg.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)

Outputs
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
(*.f64 -1/2 (/.f64 c b_2))

Calls

3 calls:

238.0ms	c
74.0ms	a
59.0ms	b_2

Results

Error	Segments	Branch
32.9b	5	`a`
12.4b	3	`b_2`
31.6b	10	`c`

Compiler

Compiled 241 to 123 computations (49% saved)

bsearch185.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
97.0ms	4.6451721577816856e-52	1.6084386982613694e-47
87.0ms	-6.199371955965958e-74	-2.5143389745227096e-80

Compiler

Compiled 450 to 323 computations (28.2% saved)

regimes226.0ms (1.2%)

Counts

25 → 2

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (neg.f64 b_2) a)
(*.f64 b_2 (/.f64 2 a))
(/.f64 1/2 (/.f64 b_2 c))
(*.f64 b_2 (/.f64 -2 a))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 1/2 (/.f64 b_2 c))
(/.f64 2 (/.f64 a b_2))
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 b_2 -2) a)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(*.f64 (/.f64 1 a) (+.f64 b_2 b_2))
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(+.f64 (.f64 (/.f64 -2 a) b_2) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (/.f64 -2 (/.f64 a b_2)) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(.f64 (.f64 (/.f64 (*.f64 c 1/2) b_2) a) (/.f64 1 (neg.f64 a)))
(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))) a)
(.f64 (-.f64 b_2 (-.f64 (.f64 (/.f64 1/2 (/.f64 b_2 c)) a) b_2)) (/.f64 1 (neg.f64 a)))

Outputs
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))

Calls

3 calls:

160.0ms	c
34.0ms	a
26.0ms	b_2

Results

Error	Segments	Branch
36.7b	3	`a`
21.5b	2	`b_2`
34.7b	6	`c`

Compiler

Compiled 213 to 110 computations (48.4% saved)

bsearch58.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
57.0ms	-7.336367830451802e-293	4.432073232703167e-308

Compiler

Compiled 262 to 195 computations (25.6% saved)

regimes99.0ms (0.5%)

Counts

18 → 2

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (neg.f64 b_2) a)
(*.f64 b_2 (/.f64 2 a))
(/.f64 1/2 (/.f64 b_2 c))
(*.f64 b_2 (/.f64 -2 a))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 1/2 (/.f64 b_2 c))
(/.f64 2 (/.f64 a b_2))
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 b_2 -2) a)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(*.f64 (/.f64 1 a) (+.f64 b_2 b_2))
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(+.f64 (.f64 (/.f64 -2 a) b_2) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (/.f64 -2 (/.f64 a b_2)) (*.f64 1/2 (/.f64 c b_2)))

Outputs
(+.f64 (.f64 (/.f64 -2 a) b_2) (.f64 1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))

Calls

3 calls:

51.0ms	c
26.0ms	a
17.0ms	b_2

Results

Error	Segments	Branch
36.7b	3	`a`
21.5b	2	`b_2`
34.7b	6	`c`

Compiler

Compiled 120 to 65 computations (45.8% saved)

bsearch55.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
55.0ms	-7.336367830451802e-293	4.432073232703167e-308

Compiler

Compiled 262 to 195 computations (25.6% saved)

regimes72.0ms (0.4%)

Counts

16 → 2

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (neg.f64 b_2) a)
(*.f64 b_2 (/.f64 2 a))
(/.f64 1/2 (/.f64 b_2 c))
(*.f64 b_2 (/.f64 -2 a))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 1/2 (/.f64 b_2 c))
(/.f64 2 (/.f64 a b_2))
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 b_2 -2) a)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(*.f64 (/.f64 1 a) (+.f64 b_2 b_2))
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)

Outputs
(/.f64 (*.f64 b_2 -2) a)
(*.f64 -1/2 (/.f64 c b_2))

Calls

3 calls:

29.0ms	c
22.0ms	a
16.0ms	b_2

Results

Error	Segments	Branch
36.7b	3	`a`
21.7b	2	`b_2`
35.9b	4	`c`

Compiler

Compiled 98 to 54 computations (44.9% saved)

bsearch53.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
53.0ms	1.071711366989096e-286	4.548519148452079e-281

Compiler

Compiled 184 to 141 computations (23.4% saved)

regimes64.0ms (0.4%)

Counts

12 → 2

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (neg.f64 b_2) a)
(*.f64 b_2 (/.f64 2 a))
(/.f64 1/2 (/.f64 b_2 c))
(*.f64 b_2 (/.f64 -2 a))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 1/2 (/.f64 b_2 c))
(/.f64 2 (/.f64 a b_2))
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 b_2 -2) a)
(*.f64 (/.f64 -1/2 b_2) c)

Outputs
(/.f64 (*.f64 b_2 -2) a)
(*.f64 (/.f64 -1/2 b_2) c)

Calls

3 calls:

25.0ms	c
22.0ms	a
14.0ms	b_2

Results

Error	Segments	Branch
36.8b	3	`a`
21.8b	2	`b_2`
35.9b	4	`c`

Compiler

Compiled 71 to 41 computations (42.3% saved)

bsearch51.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
51.0ms	1.071711366989096e-286	4.548519148452079e-281

Compiler

Compiled 184 to 141 computations (23.4% saved)

regimes57.0ms (0.3%)

Counts

11 → 2

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (neg.f64 b_2) a)
(*.f64 b_2 (/.f64 2 a))
(/.f64 1/2 (/.f64 b_2 c))
(*.f64 b_2 (/.f64 -2 a))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 1/2 (/.f64 b_2 c))
(/.f64 2 (/.f64 a b_2))
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 b_2 -2) a)

Outputs
(/.f64 (*.f64 b_2 -2) a)
(/.f64 -1/2 (/.f64 b_2 c))

Calls

3 calls:

23.0ms	c
18.0ms	a
13.0ms	b_2

Results

Error	Segments	Branch
37.3b	3	`a`
22.3b	2	`b_2`
36.4b	4	`c`

Compiler

Compiled 66 to 38 computations (42.4% saved)

bsearch149.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
149.0ms	1.071711366989096e-286	4.548519148452079e-281

Compiler

Compiled 184 to 141 computations (23.4% saved)

regimes186.0ms (1%)

Counts

10 → 2

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (neg.f64 b_2) a)
(*.f64 b_2 (/.f64 2 a))
(/.f64 1/2 (/.f64 b_2 c))
(*.f64 b_2 (/.f64 -2 a))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 1/2 (/.f64 b_2 c))
(/.f64 2 (/.f64 a b_2))
(*.f64 2 (/.f64 b_2 a))

Outputs
(*.f64 b_2 (/.f64 -2 a))
(/.f64 -1/2 (/.f64 b_2 c))

Calls

3 calls:

154.0ms	c
17.0ms	a
12.0ms	b_2

Results

Error	Segments	Branch
37.3b	3	`a`
22.4b	2	`b_2`
36.5b	4	`c`

Compiler

Compiled 61 to 35 computations (42.6% saved)

bsearch143.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
143.0ms	1.071711366989096e-286	4.548519148452079e-281

Compiler

Compiled 184 to 141 computations (23.4% saved)

regimes164.0ms (0.9%)

Counts

6 → 2

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (neg.f64 b_2) a)
(*.f64 b_2 (/.f64 2 a))
(/.f64 1/2 (/.f64 b_2 c))
(*.f64 b_2 (/.f64 -2 a))

Outputs
(*.f64 b_2 (/.f64 -2 a))
(/.f64 0 a)

Calls

3 calls:

139.0ms	c
13.0ms	a
9.0ms	b_2

Results

Error	Segments	Branch
45.2b	3	`a`
39.3b	2	`b_2`
44.6b	3	`c`

Compiler

Compiled 41 to 25 computations (39% saved)

bsearch61.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
61.0ms	-2.5652726770141002e-263	-5.137684228670528e-266

Compiler

Compiled 150 to 119 computations (20.7% saved)

regimes18.0ms (0.1%)

Accuracy

Total -10.6b remaining (-20.2%)

Threshold costs -10.6b (-20.2%)

Counts

5 → 2

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (neg.f64 b_2) a)
(*.f64 b_2 (/.f64 2 a))
(/.f64 1/2 (/.f64 b_2 c))

Outputs
(/.f64 (neg.f64 b_2) a)
(/.f64 0 a)

Calls

3 calls:

8.0ms	b_2
4.0ms	a
4.0ms	c

Results

Error	Segments	Branch
55.5b	1	`a`
52.5b	2	`b_2`
55.5b	1	`c`

Compiler

Compiled 36 to 22 computations (38.9% saved)

bsearch53.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
53.0ms	-2.5652726770141002e-263	-5.137684228670528e-266

Compiler

Compiled 142 to 111 computations (21.8% saved)

simplify111.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
13×	`+-commutative_binary64`
9×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	84	471
1	112	457
2	127	457
3	138	457
4	144	457
5	147	457
6	148	457

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 -27000000000000001890214370885006938890109354007833627459898457150901777711935606526227695128268592121000811116528563066921162693699341311435668979712) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 40485064112041008/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (if (<=.f64 b_2 8787942429541353/25108406941546723055343157692830665664409421777856138051584) (/.f64 (/.f64 (.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) a) (*.f64 -1/2 (/.f64 c b_2)))))
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) -inf.0) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) -4185580496821356544/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (if (<=.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 0) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (*.f64 -1/2 (/.f64 c b_2))))))
(if (<=.f64 b_2 -54467669415983208/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 12940774400232308/26959946667150639794667015087019630673637144422540572481103610249216) (/.f64 (-.f64 (sqrt.f64 (.f64 a (neg.f64 c))) b_2) a) (.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 0) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (*.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 0) (+.f64 (.f64 (/.f64 -2 a) b_2) (.f64 1/2 (/.f64 c b_2))) (*.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 1883511223569610496/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896) (/.f64 (.f64 b_2 -2) a) (.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 1883511223569610496/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896) (/.f64 (.f64 b_2 -2) a) (.f64 (/.f64 -1/2 b_2) c))
(if (<=.f64 b_2 1883511223569610496/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896) (/.f64 (*.f64 b_2 -2) a) (/.f64 -1/2 (/.f64 b_2 c)))
(if (<=.f64 b_2 1883511223569610496/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896) (*.f64 b_2 (/.f64 -2 a)) (/.f64 -1/2 (/.f64 b_2 c)))
(if (<=.f64 b_2 -57859697214025064/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (*.f64 b_2 (/.f64 -2 a)) (/.f64 0 a))
(if (<=.f64 b_2 -57859697214025064/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (/.f64 (neg.f64 b_2) a) (/.f64 0 a))
(/.f64 0 a)

Outputs
(if (<=.f64 b_2 -27000000000000001890214370885006938890109354007833627459898457150901777711935606526227695128268592121000811116528563066921162693699341311435668979712) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 40485064112041008/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (if (<=.f64 b_2 8787942429541353/25108406941546723055343157692830665664409421777856138051584) (/.f64 (/.f64 (.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) a) (*.f64 -1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -27000000000000001890214370885006938890109354007833627459898457150901777711935606526227695128268592121000811116528563066921162693699341311435668979712) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 2530316507002563/22592111669665739975592870737637022906810831294812620197467215446901550642889587999246991367961839975767182923986271972624986374927027127581012424707895568851446368731861728964581056579941628221790058875830676242925879296) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (if (<=.f64 b_2 8787942429541353/25108406941546723055343157692830665664409421777856138051584) (/.f64 (/.f64 (.f64 a (neg.f64 c)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) a) (*.f64 (/.f64 c b_2) -1/2))))
(if (<=.f64 b_2 -27000000000000001890214370885006938890109354007833627459898457150901777711935606526227695128268592121000811116528563066921162693699341311435668979712) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 2530316507002563/22592111669665739975592870737637022906810831294812620197467215446901550642889587999246991367961839975767182923986271972624986374927027127581012424707895568851446368731861728964581056579941628221790058875830676242925879296) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (if (<=.f64 b_2 8787942429541353/25108406941546723055343157692830665664409421777856138051584) (/.f64 (/.f64 (.f64 a (neg.f64 c)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) a) (*.f64 (/.f64 c b_2) -1/2))))
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) -inf.0) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) -4185580496821356544/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (if (<=.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 0) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (*.f64 -1/2 (/.f64 c b_2))))))
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(if (<=.f64 b_2 -54467669415983208/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 12940774400232308/26959946667150639794667015087019630673637144422540572481103610249216) (/.f64 (-.f64 (sqrt.f64 (.f64 a (neg.f64 c))) b_2) a) (.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -6808458676997901/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 3235193600058077/6739986666787659948666753771754907668409286105635143120275902562304) (/.f64 (-.f64 (sqrt.f64 (.f64 a (neg.f64 c))) b_2) a) (.f64 (/.f64 c b_2) -1/2)))
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(if (<=.f64 b_2 7357465717068791/163499238157084246970890052651977815332245607254872681799888670100456398181905536269103756533156716633238933245476249210386222120009203192687752953715493389952614864728152938620316690140722215910002962984513038253533659992483501702257775023591263777382983344691261934931342007929269781293292322816) (/.f64 (.f64 b_2 -2) a) (.f64 (/.f64 c b_2) -1/2))
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(if (<=.f64 b_2 -57859697214025064/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (/.f64 (neg.f64 b_2) a) (/.f64 0 a))
(if (<=.f64 b_2 -7232462151753133/283625966735416996535885333662014114404918709117773906527666446555317050392228007039102232836943884008369202383078188524332921074971181050832906833858946728855699699487201666630303651778087184309051360279531753007138776532531333940154475963659030548670205136385754377903702802432) (/.f64 (neg.f64 b_2) a) (/.f64 0 a))
(/.f64 0 a)

Compiler

Compiled 346 to 189 computations (45.4% saved)

soundness176.0ms (1%)

Algorithm

1×	egg-herbie

Rules

690×	`fma-neg_binary64`
637×	`times-frac_binary64`
547×	`fma-def_binary64`
434×	`associate-/l*_binary64`
380×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	955
1	385	779
2	1767	709
3	7095	703

Stop Event

1×	node limit

Compiler

Compiled 22 to 16 computations (27.3% saved)

end138.0ms (0.8%)

Compiler: Compiled 313 to 139 computations (55.6% saved)